Question 46
TrigonometryThe point M is on the same horizontal as the foot of a vertical pole. The angle of elevation of the top of the pole from M is 55°. If M is 10 m from the foot of the pole, calculate, correct to the nearest metre, the height of the pole.
- A.6.0 m
- B.8.0 m
- C.14.0 m
- D.7.0 m
Show the answer and explanation
Answer: C (14.0 m)
Explanation
h = 10 tan 55° = 10 × 1.428 ≈ 14 m.