From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:
Aptitude
Height and Distance
Difficulty: Easy
Choose an option
-
A100 m
-
B100√3 m
-
C200 m
-
D200/√3 m
Answer
Correct Answer: 100√3 m
Explanation
Given
- Tower height = 100 m.
- Angle of elevation from point P = 30°.
Distance from foot to Ptan 30° = height / distance ⇒ 1/√3 = 100 / dd = 100√3 = 100√3 m