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Calculate the angle of depression from the
top of the flag pole to point A.

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angle of depression ≈ 53.8°

Step-by-step 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 = $$\frac{opposite}{hypotenuse}$$ = $$\frac{25}{31}$$ , then

∠ A = $$sin^{-1}$$ ( $$\frac{25}{31}$$ ) ≈ 53.8° ( to 1 d.p )

Angle of depression ≈ 53.8°
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