Question

A 92-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun?

Answer 1

Answer:

The angle of elevation of the sun is 38°

Step-by-step explanation:

We can set up the diagram for the the question by interpreting it, you can check the diagram at the attached file.

We can see that after the interpretation of the question we arrived at a triangle,. Where the vertical side represent the 92-ft. which is the height of the tree and the horizontal side represent the 120 ft. which is the shadow's lenght. Then the angle of elevation of the sun can ba calculated using tangent ratio, from our knowledge of trigonometry

Tan(θ )= opposite/adjacent

Where our opposite =92ft

Adjacent= 120ft

Tan(θ ) =92/120

θ =tan-1( 92/120)

θ = 37.48°

Therefore, the angle of elevation of the sun If we round up our decimal value to the nearest 10th, we have θ = 38°