MEDIUM
Stage 1 & 2
IMPORTANT
Earn 100

A cat saw a rat when it was exactly at the middle of the vertical tower. At that moment the angle of elevation as observed by the cat was . The cat ran a certain distance towards the tower to chase the rat, which is at the top of the tower. If the cat which is now away from the foot of the tower finds the angle of elevation of the rat to be , what distance cat ran?
(a)
(b)
(c)
(d)None of these

100% studentsanswered this correctly

Important Questions on Height and Distance
HARD
Stage 1 & 2
IMPORTANT
Two poles at points and stands on a horizontal place. and are two points between them. The angle of elevation of the top of the poles as observed from the point are and from point are and . If , then is equal to

EASY
Stage 1 & 2
IMPORTANT
A man who is tall found the angle of elevation of the top of a tower to be . If the angle of depression at the foot of the tower as observed by the man is , what is the height of the tower?

HARD
Stage 1 & 2
IMPORTANT
A man standing on the lighthouse observes the angle of elevation of a boat coming towards the lighthouse to be from in . How much time will the boat take to reach the foot of the lighthouse?

MEDIUM
Stage 1 & 2
IMPORTANT
A high pole which is above a high building observed by an observer standing at a height of . If the top of the building and the top of the pole subtends equal angle i.e., at the observer, then the horizontal distance of the observer from the pole is
