All categories

3 years ago

Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

Mathematics

1 answer:

scoray [572]3 years ago

4 0

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

| 96ft

θ------------------------------------

120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

You might be interested in

Find the vertex of the parabola.

7nadin3 [17]

Answer:

C: (3,1)

Step-by-step explanation:

y = -4x² + 24x - 35

y = -4(x² - 6x) - 35

y = -4[x² - 2(x)(3) + 3² - 3²] - 35

y = -4(x - 3)² -4(-9) - 35

y = -4(x - 3)² + 36 - 35

y = -4(x - 3)² + 1

Vertex (3,1)

7 0

3 years ago

Trevon is making payments on a computer that costs $1548. If he makes 12 equal payments, how much is three of his payments?

sammy [17]

Answer:

The answer is 387. Let's see why.

Step-by-step explanation:

The computer costs $1548. And all the 12 payments are equal.

To find one payment we need to divide the total cost to the number of payments.

$\frac{1548}{12} = 129$

Each one of the payments is $129.

To find three payment we simply follow:

129 . 3 = 387

Another solution can be;

Since we are looking for 3 of the payments we can divide it to the total payment

$\frac{3}{12}$ which equals to $\frac{1}{4}$

And we can find the answer by multiplying it with the cost which gives;

$\frac{1}{4} . 1548 =387$

4 0

3 years ago

Which elements comprise an alcohol functional group?

fgiga [73]

The best and most correct answer among the choices provided by the question is the second choice "carbon and nitrogen"

Alcohols are organic compounds in which the hydroxyl functional group (-OH) is bound to a carbon atom. Alcohols are an important class of molecules with many scientific, medical, and industrial uses.

I hope my answer has come to your help. God bless and have a nice day ahead!

4 0

3 years ago

Which graph shows the solution to the system of linear inequalities?

liberstina [14]

Answer:

Step-by-step explanation:

Sorry, can’t help. Not enough information :(

8 0

2 years ago

Please help Show workings Pleasssssseeeeee

Ad libitum [116K]

Just set them equal to each other
2x-2= x+3

2x-5=x
-5= -x
X=5

Hope it helps

7 0

3 years ago