Mathematics
The angles of depression of point A from points D and E respectively are :
30° and 60°
45° and 30°
45° and 60°
15° and 60°
Heights & Distances
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Answer
For point A,
Angle of depression from point D = 90° - ∠D = 90° - 45° = 45°.
In △ ABE,
⇒ ∠A + ∠B + ∠E = 180°
⇒ 60° + 90° + ∠E = 180°
⇒ 150° + ∠E = 180°
⇒ ∠E = 180° - 150° = 30°.
Angle of depression from point E = 90° - ∠E = 90° - 30° = 60°.
Hence, Option 3 is the correct option.
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