A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?

Answers

Answer 1

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

Answer 2

The height of the tree will be 30 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Given; A tree casts a shadow 21 m long.

The angle of elevation of the sun is 55°.

Let h be the height of tree.

Then the height of the tree will be;

tan(55) = h/21

21*tan(55)=h

29.99=h

h = 29.99 = 30 feet

Therefore, The height of the tree will be 30 feet.

More about the right-angle triangle link is given below;

brainly.com/question/3770177

#SPJ2


Related Questions


Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner

Answers

Answer:

It takes 3 more gallons to fill the tank.

Step-by-step explanation:

6-3=3

Please help with this

Answers

Answer: x = 10

Step-by-step explanation:

Hi, to answer this question we have to apply proportions, since the sides are equivalent.

15/25

6/x

So, for equal ratios:

15/25 = 6/x

Solving for the missing side x:

x = 6 / (15/25)

x = 10

In conclusion, the correct option is D) 10

Feel free to ask for more if needed or if you did not understand something.  

there are 4 blue counters and 3 red counters in a bag. Suzy put some more red counters into the bag. The ratio between blue and red counters is now 2:5. How many red counters did suzy put into the bag​

Answers

Answer:

i think suzy will put 15 red counters into the bag​

Step-by-step explanation:

Suzy will put 15 red counters

what is 2 Square of 100? what is 3 Square of 250

Answers

Answer:

10,000

15,625,000

Step-by-step explanation:

Squaring a number means multiplying a number by itself.

100^2=100*100=10,000

Cubing a number means multiplying a number by itself 3 times.

250^3=250*250*250=15,625,000

Hope this helps ;) ❤❤❤

Answer:

10000

15,625,000

Step-by-step explanation:

100 x 100 = 10000

250 x 250 x 250 = 15,625,000

Here is a list of ingredients to make biscuits.
200 g butter
180 g caster sugar
400 g plain flour
20g chocolate chips
Andrew only has 300 g of plain flour.
How much of the other ingredients should he use?
g butter
g caster sugar
Help due tomorrow and I'm a bit thick and tired
g chocolate chips​

Answers

Answer:

[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter

[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar

[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips

full working out :)

In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic

Answers

Answer:

D) Convenice

Step-by-step explanation:

People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey

An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6

Answers

Answer:

an = 8 + (n-1) *(-6)

Step-by-step explanation:

The explicit formula is

an = a1+ d (n-1)  where a1 is the initial value and d is the common difference

The initial value is 8  so a1 = 8

The common difference is what we are adding or subtracting each time

We are subtracting 6 each time as we see from the recursive forumla

so d = -6

an = 8 -6(n-1)

or

an = 8 + (n-1) *(-6)

Answer:

C

Step-by-step explanation:

[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]

There are eight marbles in a bag. Four marbles are blue (B), two marbles are red
(R) and two marbles are green(G)
Steve takes a marble at random from the bag.
(i) What is the probability that Steve will take a blue marble.
(ii) What is the probability that Steve will take a green marble.
(iii) What is the probability that Steve will take a yellow marble.

Answers

Answer:

i. 4/8 or 1/2, ii. 2/8 or 1/4, iii. 0/8

Step-by-step explanation:

In the problem it says that there are 8 marbles in total, so for number 1 it'll be 4/8 or 1/2 since 4 of the marbles are blue. Number 2 will be 2/8 because there are only 2 green marbles and you can simplify 2/8 to 1/4. The last one would be 0 since the problem didn't mention that there are yellow marbles. Hope this helps :)

does this graph represents a function? why or why not?

Answers

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
7
U8
5

Answers

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

Current time: x+2

In 6 years: x+8

EQUATION:

3(x)=x+8= 3x=x+8

(subract x from both sides)

2x=8

x=4

Therefore, John is 6 years old in current time

Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5​

Answers

Answer:

Step-by-step explanation:

B

Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?

Answers

Answer:

5.06

Step-by-step explanation:

1 2/3 = 1/3

x = 1                                         (cross multiply)

1/3 x = 1 2/3                             (divide both sides by 1/3)

x = 5.06

Sorry the final answer is in decimal. I think better in decimal.

Answer:

Gabe can wrap 5 presents in an hour.

Step-by-step explanation:

So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.

Brainliest would be appreciated.

I hope that I was able to help you.

You are selling decorative eggs for your club.
Medium Eggs sold for $3 each. Large Eggs sold for
$6 each. A total of 190 Eggs were sold, and sales
totaled $870. How many Large Eggs did you sell?

Answers

is your answer to your question

The triangular prisms are similar. Find the volume of the larger prism. Round your answer to the nearest hundredth.
A. 85.33 in³
B. 86.38 in³
C. 87.07 in³
D. 88.16 in³​

Answers

The correct answer is A. 85.33 in^3

85.33 in^3 will be your answer, hope this helps!

Which is the graph of the system x+3y>-3 and y<1/2x+1?


Answers

Answer:

The y-intercept of the first inequality is -1.

The y-intercept of the second inequality is +1.

The fourth graph has these correct.

Find the value of the trigonometric ratio, cos L.

Answers

Answer:

b/h

Step-by-step explanation:

remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.

21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)

Answers

Answer:

f(x) = (x + 2)2 = 2x + 4

g(x) = 3(x - 1) = 3x - 3

gf(x) = (2x + 4)(3x - 3)

= 6x² - 6x + 12x - 12

= 6x² + 6x - 12

To write the final answer in the form

a(x² + bx + c) we factorize the expression

Thus

6x² + 6x - 12

= 6( x² + x - 2)

where a = 6, b = 1 and c = - 2

b.) to find g '(12) we first find g ′

To find g′ equate g(x) to y

Thus

g(x) = y

y = 3x - 3

x = 3y - 3

3y = x + 3

Divide both sides by 3

We get

y = x+3/3

That's g′ = x + 3 / 3

g′(12) = 12 + 3 / 3

= 15/3

= 5

Hope this helps

sin law or cos law?!!!!!!!!!!!!! ​

Answers

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]

Step 1: Solve for m∠B

[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]

25sinx = 27sin36°

sinx = 27sin36°/25

[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

6.5+(-8.3)-(-1.6)+0.7-9.9

Answers

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

Find the length of LW. If entering your answer as a decimal, round your final answer to the nearest hundredth. LW = ___ Units

Answers

Answer:

17.5 units

Step-by-step explanation:

We are given the following values from the diagram above

LA = 3.5 units

AY = Midpoint = 7.0 units

LW = unknown

Step 1

The first step is to determine what AW is.

From the right angled triangle, we obtained these proportions

LA : AY = AY : AW

= LA/AY= AY/AW

Cross Multiply

7× 7 = 3.5 × AW

49 = 3.5 AW

AW = 49/3.5

AW = 14 units

Step 2

LW = AW + LA

LW = 14 units + 3.5 units

LW = 17.5 units

Answer:

17.5 units

Step-by-step explanation:

i got this correct on khan thanks to adefunkeadewole.

thank you very much adefunkeadewole :)

Helpppp meeee do ths

Answers

Answer:

7/10

Step-by-step explanation:

10 dishes

3 meat dishes = ( chicken, hamburger, meatloaf)

10-3 = 7 that are not meat

P ( not meat) = not meat / total

                      =7/10

Answer:

7/10

Step-by-step explanation:

There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.

Hope that was helpful!

(Brainliest???) :P

4. Which regions contain more than 3 million males?

Answers

Europe and Australia and the us

Answer:

The Eastern region has more than 3 million males.

Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states

Answers

I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.

Answer:

B

Step-by-step explanation:

I took the test ;P

(-2a-4b-6c) - (-a - 2b +3c)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-a - 2b - 9c

▹ Step-by-Step Explanation

(-2a - 4b - 6c) - (-a - 2b + 3c)

Remove parentheses

-2a - 4b - 6c - (-a - 2b + 3c)

Collect like terms

-a - 4b - 6c + 2b - 3c

Final Answer

-a - 2b - 9c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: -a - 2b -9c

Step-by-step explanation:

-2a - (-a) = -a

-4b - (-2b) = -2b

-6c - (3c) = -9c

-a - 2b - 9c

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0

Answers

Answer:

a = -3  b = -5 and c = 9

Step-by-step explanation:

−3x^2 − 5x + 9 = 0

The quadratic function is written as

ax^2 + bx+c =0

So a = -3  b = -5 and c = 9

Answer:

a = -3, b = -5 and c = 9

Step-by-step explanation:

Given Quadratic Equation is:

=> [tex]-3x^2-5x+9[/tex]

Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get

=> a = -3, b = -5 and c = 9

Subtract simplify your answer completely

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

[tex] \frac{3x + 13}{ {x}^{2} + 4x + 5} [/tex]

Option A is the correct option

solution,

[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]

Hope this helps...

Good luck on your assignment...

Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle ABC = The measure of angle A prime B prime C prime

The measure of angle ABC = The measure of angle B prime C prime A

The measure of angle BCA = The measure of angle A prime B prime C prime

The measure of angle BCA = The measure of angle C prime A prime B prime

Answers

Answer:

The measure of angle ABC = The measure of Angle A' B' C'

Step-by-step explanation:

Because

<A = <A'

<B = <B'

<C = <C'

The answer above is right.

PRE CALC, please help 22 POINTS

Answers

Answer:

D. f(x)=3^x+5

Step-by-step explanation:

D. have a domain and range

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown below:
Art class and in art club: 100
Art class and not in art club: 265
Total in art class: 365

Not in art class and in art club: 65
Not in art class and not in art club: 70
Total not in art class: 135

Total in art club: 165
Total not in art club: 335
Total students: 500

Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answers

Answer:

If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.

As a non-art club member, you have a 79% chance of being assigned to the art class they request.

As an art club member, you have a 61% chance of being assigned to the art class they request.

Step-by-step explanation:

265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.

Total not in art club 335/ Total students 500= 0.791= 0.79%

Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%

Non art club requested 79% against art club requested 61%.

Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.

A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.

Answers

Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.

Step-by-step explanation:

Answer: The answer is C.

Step-by-step explanation: I did the test and it was right

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