Question 44
TrigonometryA cliff on the bank of a river is 87 m high. A boat on the river is 22 m away from the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.
- A.76°
- B.64°
- C.36°
- D.24°
Show the answer and explanation
Answer: A (76°)
Explanation
The angle of depression equals the angle of elevation from the boat: tan α = 87/22 ≈ 3.95, so α ≈ 76°.