Consider two points on the ground, at distances a and b from the base of a tower (a>b) from the foot of the tower and in the same straight line with it are 30° and 60° respectively. The height of the tower is:
Show answer & explanation
Correct answer: A
Explanation
Height of the tower = h
tan 30° = h/a
h = a/√3
tan 60° = h/b
h = b√3
Multiplying both equations:
h² = ab
Therefore, height of the tower = √ab