a building 62 feet tall casts a shadow 21 meters long . at what angle is the sun shining on the building?

Answers

Answer 1

9514 1404 393

Answer:

  42.0°

Step-by-step explanation:

To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (building height)/(shadow length)

  angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)

  angle of elevation ≈ 41.984°

The angle of elevation of the sun is about 42.0°.

Answer 2

Answer:

71.29

Step-by-step explanation:


Related Questions

PLZ HELP WITH THESE AND FAST!!!!!!!!!!!!

Answers

Answer:

(11+4)/3*square root of 64=40

Step-by-step explanation:

11+4=15

15/3=5

the square root of 64 is 8

5*8=40.

pls help thank you!
choose the best answer
x^2=36

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

x^2-78=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

x^2-8x+16x=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

5x^2-4x+3=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:

two distinct real solutions

Answer:

the first one is b)

Step-by-step explanation:

the first one is B. bc x= 6 or x= -6

A tent that initially sold for $68.00 is on sale for 21% off. What is the sale price of the tent?
a. $41.28
b. $47.00
c. $47.00
d. $323.81

Answers

Answer:

Hey!

Try this!

   Take the original price.

   Divide the original price by 5.

   Alternatively, divide the original price by 100 and multiply it by 20.

   Subtract this new number from the original one.

   The number you calculated is the discounted value.

   Enjoy your savings!

Answer:

Step-by-step explanation:

100-21 gives you 79 so 68.00- .79, however, that gives you 53.72

eqfrtvwetsbhsrtzdvcsrtbdhv

Answers

Answer:

ERSEYHEFUHEFYUBREHFBHRBVYICRWHBG

Step-by-step explanation:

Help help help help !!!!

Answers

Answer:

A.188.4cm^3

Step-by-step explanation:

3.14 times 4 times 15

It’s A. 188.4cm3, good luck (*・∀-)☆.

Solve the equation for x:
|5x - 61 = -10

Answers

Answer:

x=51/5

Step-by-step explanation:

Add 61 on both sides

You'll have 5x=51

So now 51/5 is your answer.

Answer:

16/5

Step-by-step explanation:

|5x - 6| = -10

5x -6 = 10

5x = 10+6 = 16

x = 16/5

Pair of integers whose sum is -5​

Answers

-10, 5 or -6, 1 or -15, 10

-4+2(5k-6)=-3k-39

need it with the steps

Answers

PEMDAS
1. Distributive property 2(5k-6) = 10k -12
2. Add 10k-12-4= - 3K -39 which is 10k-16= - 3K -39
3. Add to both sides 10k -16 +16 = 10k, -3k-39 + 16 = -3k-24, 10k = -3k-24
4. Add to both sides with variable
10k + 3k = 13k, -3k-24+3k = -24
5. Divide 13k/13 = -24/13
6. The answer k≈ −1.846153846153846

How many terms are in this expression?
1 + 9 + 3u
Submit

Answers

Answer:

2

Step-by-step explanation:

When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.

1 + 9 + 3u

There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.

How would u solve for x
8x-2=-9+7x

Answers

8x - 7x = -9 + 2
x = -7
step 1: move the terms
8x-7x = -9+2
step 2: calculate
8x-7x= x
-9+2= -7
so, x= -7. hope this helps!

What is the missing reasons in the proof?

Answers

answer:

substituion property or transitive property

step-by-step explanation:

we already knew that <ABC was 90 degrees, therefore all we had to do was substitute, therefore transitive property
Substitution the problem

-
The first three terms of a geometric sequence are as follows.
2, 10, 50
Find the next two terms of this sequence.

Answers

Answer:

250, 1250

Step-by-step explanation:

Since 10/2 = 50/ 10 = 5, the common ratio = 5    So the next term in the sequence is found by multiplying the last term by 5.  

Therefore, 50 x 5 = 250 and 250 x 5 = 1250. So, the next two terms in your sequence are 250 and 1250

Find the value of y for the given value of x.

y=2x−3;x=−4
y=

Answers

Step-by-step explanation:

Given

y = 2x - 3

if x = - 4 Then

y = 2 * ( -4) - 3

= -8 - 3

= - 11

Hope it will help :)

The value of y when the value of x is equal to the negative number 4 is negative 11 (-11).

What is an unknown variable?

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

The expression for the variable x and y are given as,

[tex]y=2x-3[/tex]

The x value for the above expression is given as,

[tex]x=-4[/tex]

The value of y for the above value of x has to be found out.  Put the value of x in the given expression to find the value of variable y as,

[tex]y=2(-4)-3[/tex]

Solve it further as,

[tex]y=2(-4)-3\\y=-8-3\\y=-11[/tex]

Hence, the value of y when the value of x is equal to the negative number 4 is negative 11 (-11).

Learn more about the unknown variable here;

https://brainly.com/question/1235185

Find the missing length in the trapezoid and explain how to get it

Answers

Answer:

10

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = 8² + 6²

                     = 64 + 36

                     = 100

hypotenuse = √100 = √(10*10)

Hypotenuse = 10

76​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.

Answers

Answer:

[tex]E(x) = 4.56[/tex] --- Mean

[tex]s^2 = 1.0944[/tex] --- Variance

[tex]s = 1.0461[/tex] --- Standard Deviation

Step-by-step explanation:

See Comment for missing details

Given

[tex]p = 0.76[/tex] --- proportion

[tex]n = 6[/tex] -- sample

Solving (a): The mean; E(x)

This is calculated as:

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 6 * 0.76[/tex]

[tex]E(x) = 4.56[/tex]

Solving (b): The variance; s^2

This is calculated as:

[tex]s^2 = n*p*(1-p)[/tex]

Substitute values for n and p

[tex]s^2 = 6 * 0.76 * (1-0.76)[/tex]

[tex]s^2 = 6 * 0.76 * 0.24[/tex]

[tex]s^2 = 1.0944[/tex]

Solving (c): The standard deviation; s

This is calculated as:

[tex]s = \sqrt{s^2[/tex]

Substitute value for s^2

[tex]s = \sqrt{1.0944[/tex]

[tex]s = 1.0461[/tex]

Please help with this look below! : )

Answers

Answer:

$0.40

Step-by-step explanation:

5.60/14 = .40

PLEASE HELP ILL GIVE YOU BRAINLIIEST


The common ratio of a geometric sequence is 3 and the 8th term is 4,374. What is the 4th term in this sequence?​

Answers

Answer:

the first term is a1

the 8th term is a8

the 4th term is a4

we have:

[tex]a8=a1.3^{7}\\\\<=>4374=a1.3^{7}\\\\<=>a1=2[/tex]

with a1 = 0,002 => a4 = a1.3³ = 2.27 =54

Step-by-step explanation:

The 4th term of the given geometric sequence is 54.

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The nth term of a GP is given as a[tex]r^{n-1}[/tex]

As per the given,

Common ratio r = 3

8th term = 4374

a(3)⁸⁻¹ = 4374

a = 2

The 4th term will be as, 2 x (3)⁴⁻¹ = 54

Hence "The 4th term of the given geometric sequence is 54".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ5

A 2.4m piece of ribbon is to be divided into three equal lengths to go around some
presents. How long (m) will each piece of ribbon be? Convert your answer to cm.

Answers

Answer: 80 cm

Step-by-step explanation:

2.4 divided by 3 is 0.8

To convert m to cm multiply by 100

100 x 0.8 = 80

Answer:

Each piece of ribbon will be 80 cm or 0.8m

Step-by-step explanation:

Hope this helps!

Suppose that the probability that your mail is delivered before 2 pm. 90. What is the probability that your mail will be delivered before 2 pm for two consecutive days? Give your answer as a decimal.
Thank you!

Answers

Answer:

Step-by-step explanation:

1. The probability that your mail is delivered before 2 pm is 0.9, so the probability that the mail is delivered at 2 pm or after 2 pm (so not before 2 pm) is 1-0.9=0.1.

Remark: 0.9=9/10=90/100=90%, and 0.1 is 10%

2. Probability of the mail being delivered before 2 pm for 2 consecutive days is  

3. take a look at the picture attached, the tree diagram is another method we could use.

Answer:

.81

Step-by-step explanation:

I have acellus too and this is the correct answer. I can't explain it very well. Sorry!

ABCD is a parallelogram. Find the measure of ABC.
12°
B
130°
A
389
12°
с
38°
50°

Answers

Answer:

50°

Step-by-step explanation:

As we know that the opposite angles of parallelogram are equal so

< ADC = < ABC

< ABC = 38° +12°

< ABC = 50°

Hope it will help :)

What js the value of (x)?​

Answers

the value of x is x=8

A circle has a diameter of 12 inches. What is the area of the circle? А 367 inches squared B 247 inches squared C 127 inches squared D 67 inches squared​

Answers

Answer:

113.1

Step-by-step explanation:

A = πr²

A = π (6)²

A = π (36)

A = 113.09 = 113.1

3912 divided by 48!!!!!!!!! Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

81.5

Step-by-step explanation:

Answer:

81.5

Step-by-step explanation:

Hope this Helps!

i need this fast it’s due tonight

Answers

Answer:

12

Step-by-step explanation:

diameter is just radius times 2

hope this helps!

please mark me brainliest! thanks!

$9.45 meal, 20% tip does answer know the answer

Answers

Answer: $7.56

Step-by-step explanation:

1.89 I think LOL but don’t quote me

Write the measure in descending order 0.5m - 480mm - 55cm​

Answers

Answer:

480mm<55cm<0.5m

Step-by-step explanation:

millimeters means 100

centimeters means 10

meters means 1

there are 10mm in every 1cm and 100cm in every 1m

Answer:

55cm>0.5m>480mm

Step-by-step explanation:

as we know

1000mm=1m

100cm=1m

So we see

55=55cm

0.50=50cm

480=48cm

Hope it helps you thanks

Please mark as The Brainlist

Thank you

Express the ratio below in its simplest form.
9:9:3

Answers

Answer:3:3:1

Step-by-step explanation:divide by 3

GOOD ANSWERS PLEASE!! WILL GIVE BRAINLIEST!!

Consider the triangle below.
Determine the angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle.

Answers

Answer:

angle 1= 30 degrees

angle 2= 120 degrees

angle 3= 30 degrees

Step-by-step explanation:

A triangle is equal to 180 degrees so first step is to subtract 120 to get the total of your two missing angles

180-120=60

and since your two missing angles are equal to each other you can divide by 2 and you get your two missing angles

60 / 2 = 30

What is 40% of 10?
I need to know this for a math question on khan academy

Answers

Answer:

4

Step-by-step explanation:

10/100=0.1

1% = 0.1

0.1*40= 4

The points represented by the (x, y) coordinate pairs all lie on line "k". These are the points: (1,3), (2, 1), (3,-1). (4.-3), and (5,-5). What is the slope of line k? A.2 B.5 C.-3 D.-2​

Answers

Answer:a

Step-by-step explanation:

Bsnanna

If the points (1,3), (2, 1), (3,-1). (4.-3) lie on line k, then the slope of line k is -2

Option D is the correct choice

The points that lie on the line k are:

(1,3), (2, 1), (3,-1). (4.-3), and (5,-5).

We can find the slope of the line k by picking any two points on the line

The slope m of a line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

On the line k, let us select the points (1,3) and (2, 1)

x₁ = 1, y₁ = 3, x₂ = 2, y₂ = 1

[tex]m = \frac{1-3}{2-1} \\\\m= \frac{-2}{1}\\\\m= -2[/tex]

Therefore, the slope of the line k is -2

Learn more here: https://brainly.com/question/21770234

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