What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long

Answers

Answer 1

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

What Is The Angle Of Elevation Of The Sun When A Pole 32.0 Ft Tall Casts A Shadow 45.0 Ft Long
What Is The Angle Of Elevation Of The Sun When A Pole 32.0 Ft Tall Casts A Shadow 45.0 Ft Long

Related Questions

60:£3.Give the answer in lowest terms​

Answers

Answer:

20:£1

Step-by-step explanation:

To simplify a ratio is like like simplifying a fraction

Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.

Final Answer: 20:£1

I needdd help sorry I don’t know what to type

Answers

Answer:

parallel lines has same slope

we have

y = -3/2x+2

comparing with y = mx+c

m=-3/2

so answer is -3/2

Solve the equation for y:
2x + 5y = 20

Answers

Answer:

y = [tex]\frac{20-2x}{5}[/tex]

Step-by-step explanation:

Given

2x + 5y = 20 ( isolate the term in y by subtracting 2x from both sides )

5y = 20 - 2x ( divide both sides by 5 )

y = [tex]\frac{20-2x}{5}[/tex]

The Answer will be y=4

f(x) = 2x – 5
g(x) = 4x – 1
Find f (g(x)).
help please !!

Answers

Answer:

Hey there!

g(x) is 4x-1

f(g(x) is f(4x-1)

f(4x-1)=2(4x-1)-5

f(4x-1)=8x-2-5

f(4x-1)=8x-7

The answer is 8x-7

Let me know if this helps :)

Show how you would set up and equation to solve for x. Then use your answer for x to find the measure of each angle! Rest is in pic

Answers

I hope this helps. If you have any questions as to why they equal each other or why we used 180 just ask

Brad says that the literal equation a = 3b + 4c - a is solved for a. Do you agree yes or no?

Answers

Answer:

No

Step-by-step explanation:

The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

If we solve any equation for x then

x = f(other than x)

For example

x + 2x + 3y = 4

Solve for x will be

3x + 3y = 4

x = (4 - 3y)/3 so on right-hand side no x term is present.

Given the equation,

a = 3b + 4c - a

The right-hand side has termed "a" so it is not solved for a.

Hence "The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a".

For more about the equation,

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Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? Explain how you know. 2

Answers

Answer:

Henry needs 15 pints of paint altogether

Step-by-step explanation:

If Henry uses 2 pints of red paint and 3 pints of yellow paint to get a specific color, and he now uses a total of 9 pints of yellow, then

3 x 3 = 9 (yellow)

We know that what you do on one side, you do on the other.

2 x 3 = 6 (red)

You add

9 + 6 = 15. (Red and yellow paint)

Which will lead you to the conclusion of 15 pints.

Answer:

Henry will need 15 pints altogether.

Step-by-step explanation:

Add: 6 + 9 = 15 pints

I answered the question but idk if I did it correctly *tap image to see full problem

Answers

Answer: 40

Step-by-step explanation:

66-26=40

Answer:

40 trees

Step-by-step explanation:

You started with 26 trees. At the end, you will have 66. It's not 26+66 it is 66-26=trees. Trees=40. So, the workers planted 40 trees.

Find f(4) for the function f(x) = 3x2 + x - 6

Answers

Answer:

f(4) = 46

Step-by-step explanation:

[tex]f(x)=3x^2+x-6\\f(4)=3(4)^2+4-6\\f(4)=3(16)+4-6\\f(4)=48+4-6\\f(4)=52-6\\f(4)=46[/tex]

The length of a board is 2 5/8 feet long . Of 5/6 of a foot is trimmed off ,find the new length

Answers

Answer:

I think it is 25 ft and 10 in

Step-by-step explanation:

BTW i'm probably wrong because my mom says i suck at math but friend me please lol

Answer:     1   19/24 ft

Step-by-step explanation: You multiply the fractions by the numbers needed to get the common denominator of 24 in this case 5/8 (put the two to the side for now.) multiply both top and bottom by 3 which will get you 15/24 then the whole number 2, your going to take it and subtract one from it so now there is only one whole number then with the one you subtracted you multiply (1x24)+15 *for the numerator* so now its 39/24 and for the second fraction 5/6 multiply both top and bottom by 4 now your fraction is 20/24 now...--> 39/24 - 20/24=19/24 and the left over whole number from the beginning goes down in front so the final answer is 1 19/24

Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?

Answers

Answer:

$2310

Step-by-step explanation:

1500*1.35%=20.25 each month

20.25*40=810

1500+810=2310

4.) Solve for N
7.) Solve for F

Answers

Answer:

See Below

Step-by-step explanation:

4) t = n -r  Solve for n

Add r to both sides

t = n -r

+r     +r

t +r = n

Or  n = t+r

7) [tex]\frac{f}{g}[/tex] = h    Solve for f

Multiply both sides by g to get rid of fraction

g/1 (f/g) = h(g)

f = hg

please help me out, algebra 2 question #9

Answers

Answer :

Perimeter of rectangle = 26

Length is 7 less than 9 times the width.

We have to find the width of rectangle[tex].[/tex]

_________________________________

Let, width of rectangle be x therefore length of rectangle will be (9x - 7)

We know that, perimeter of rectangle is given by

perimeter = 2 (length + width)

⇒ perimeter = 2 (l + b)

⇒ 26 = 2 [(9x - 7) + x]

⇒ 13 = x + 9x - 7

⇒ 20 = 10x

x = 2 (width)

Cheers!

Step-by-step explanation:

Let breadth be x

As it is given that, the Length is 7 less than 9 times :

Therefore, Length will be 9x - 7

Perimeter of reactangle = 26

➳ 2 ( Length + Breadth) = 26

➳ 9x - 7 + x = 26/2

➳ 10x = 13 + 7

➳ 10x = 20

x = 2

Therefore,

Breadth = x = 2

Length = 9x - 7 = 9(2) - 7 = 11

a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces

Answers

Step-by-step explanation:

27 = x + 3x +5x

27 = 9x

3 = x

Board 1: (3)(1) = 3 inches

Board 2: (3)(3) = 9 inches

Board 3: (3)(5) = 15 inches

Length of the first piece is 3 inches

Length of the second piece is 9 inches

Length of the third piece is 15 inches

What are equations?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

How to find the lengths of all three pieces?

According to the problem,

The length of the board is 27 inches.The  board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece

Length of the second piece = 3x inches

∴ Length of the third piece = 5x inches.

Now, all these pieces will add up to 27 inches.

∴ x + 3x + 5x = 27

⇒ 9x = 27

⇒ x = 3

Length of the first piece = 3 inches

Length of the second piece = (3 x 3) inches = 9 inches

Length of the third piece = (5 x 3) inches = 15 inches

Find more about "Simple Equations" here: https://brainly.com/question/847634

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A robot can complete 8 tasks in
5
hour. Each task takes the same amount of time.

Answers

Answer:

if you're asking how long each task takes, it should take 37.5 minutes per task.

Choose Yes or No to tell if the digit in the ones place is 110 the value of the digit in the tens place.
4,099
Choose...


4,110
Choose...


5,909
Choose...


5,011
Choose...

Answers

Answer:

No, no, no, no

Step-by-step explanation:

Find the sum. 5+(-7)= 0​

Answers

5+(-7)=-2

i hope this helps :)

Answer:

That doesn't make sense! Do you have a picture of the problem?

Step-by-step explanation:

I need more info in order to give a better, more acurate answer!

An equation is shown below:

−2(4x − 1) − 7 = 5

Which statement shows a correct next step in solving the equation?

Answers

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

Answer:

Distribute -2 into (4x-1) to get rid of the parenthesis.

Step-by-step explanation:

The first thing you should to in solving for 'x'  is to get rid of the parentheses by distributing.

[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]

Of course, you would also combine like terms to completely simplify the equation to solve for x.

[tex]-8x-9=5[/tex]

Hope this helps.

-2(6m + 5) = -5m + 18

solve for m

Answers

Answer:

m =-4

Step-by-step explanation:

-12m-10=-5m+18

add 5m to both sides

-7m-10=18

add 10 to both sides

-7m=28

divide both sides by -7

m= -4

Answer: m = -4

Step-by-step explanation: First distribute to get -12m -10 = -5m+18, then add 5m on both sides to get -7m -10 = 18, then add 10 on both sides to get -7m = 28, finally divide by -7 on both sides to get m = -4.

Hope this helps!

The sum of three numbers is 109. The second number is 4 times the first number and the third number is 8 less that the second number. What are the three numbers?

Answers

Answer:

I think the answers are 19, 17 and 76.

I am not sure...

Which of these points is farthest from the origin?
A. (0,8)
B. (2, 11)
C.(-6, -8)
D. (-12,0)

Answers

Answer:

The answer to the picture is 19 square units if I remember correctly.

Step-by-step explanation:

(4 x 10^-2) x (1 x 10^5)
A) 5 x 10^3
B) 4x 10^3
C) 4 x 10^-7
D) 4 x 10^-10

Answers

Answer:

the answer is b!!

Is 7, 695 divided by 855 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative will always be negative.

Answer:

if they are both positive its positive

if ones positive and ones negitive its negative

if they are both negative its positive

Step-by-step explanation:

What is the value of g? 2/5(g−7)=3 Enter your answer as a mixed number in simplest form in the box. g = $\text{Basic}$

Answers

Answer:

14 1/2

Step-by-step explanation:

I took the quiz in K12

Answer:

aye whatup my bros yall also in k12 noice im in 8th grd

Step-by-step explanation:

What is the slope of the line that connects the points
(-2,6) and (4,0) ?

Answers

Answer:

[tex]m=-1[/tex]

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{0-6}{4-(-2)}[/tex]

[tex]m=\frac{-6}{4+2}[/tex]

[tex]m=\frac{-6}{6}[/tex]

[tex]m=-1[/tex]

you and your friend share a package of candies. You eat twice as many candies as your friend. If there were 36 candies in the bag, how many did you eat?

Answers

Answer: you ate 24 and your freind ate 12

Step-by-step explanation: x+2x=36

28 divided by -4 is the same as: (read attachment) pls help

Answers

Answer:

it's the last one

Answer:

Step-by-step explanation:

D- 28/-4

Please solve both step by step I'll mark you as brainliest

Answers

Answer:

5. -5x - 1

6. -x - 4

Step-by-step explanation:

5.

Distribute (get rid of parentheses):

-5x - 1

6.

Distribute (get rid of parentheses):

-x - 4

Answer:

5. -5x - (- 1)

6. -x - (- 4)

Step-by-step explanation:

-1(5x+1) distributed property

-5x - (- 1 )

-1(x+4) same do distributed property

-x - (-4)

-24-8p=4p
help please

Answers

Answer:

-2 = p

Step-by-step explanation:

-24-8p=4p

Add 8p to each side

-24-8p+8p=4p+8p

-24 = 12p

Divide each side by 12

-24/12 = 12p/12

-2 = p

Which inequality is true? Use the number line to help.

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5



HELP ME

Answers

Answer:

c

Step-by-step explanation:

i did the assignment on E2020

Answer:

c

Step-by-step explanation:

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