Question 34
TrigonometryThe angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30°. Find the height of the tower.
- A.20m
- B.40√3/3 m
- C.20√3m
- D.40√3m
- E.60cm
Show the answer and explanation
Answer: B (40√3/3 m)
Explanation
height = 40 × tan 30° = 40 × 1/√3 = 40√3/3 m.