Question

Calculate the angle of depression from the

top of the flag pole to point A.
Give your answer to 1 d.p.

Answer 1

angle of depression ≈ 53.8°

Explanation:

the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.

this angle is alternate to ∠ A and is congruent to ∠ A

using the sine ratio in the right triangle

sin A =
`(opposite)/(hypotenuse)` =
`(25)/(31)` , then

∠ A =
`sin^(-1)` (
`(25)/(31)` ) ≈ 53.8° ( to 1 d.p )

Angle of depression ≈ 53.8°