Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

A vertical tower stands on level ground. At a point 100m from the foot of the tower the angle of elevation of the top is 20°. The height of the tower is:
Options
A 274.7m
B 34.3m
C 36.4m
Correct Answer
D 94.0m
Correct Answer

Option C is the correct answer.

Detailed Explanation

tan 20° = height/100 → height = 100 × tan 20° ≈ 100 × 0.364 = 36.4m.

Hint

Use tangent ratio: tan(angle) = opposite/adjacent.

Question Info