Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14

Question

1 year ago

12

yards long. Round to the nearest degree.

1 answer:

Tasya [4] · Answer 1 · 2024-01-10T09:32:08+03:00

The angle of elevation of the sun from the ground to the top of a tree is 36°.

We are given that:

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trigonometric identity .

tan θ = P / B

As figure is given below .

AB = Perpendicular = 10 yards

BC = Base = 14 yards

Putting all the values in the trigonometric identity .

tan θ = 10 / 14

θ = 36°

Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.

Learn more about angle of elevation here:

#SPJ9