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 30°. 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 20 m away from the foot of the tower finds the angle of elevation of the rat to be 60°, what distance cat ran?

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Important Questions on Height and Distance

HARD
Stage 1 & 2
IMPORTANT
Two poles at points A and B stands on a horizontal place. C and D are two points between them. The angle of elevation of the top of the poles as observed from the point Care 30°, 60° and from point D are 60° and 45°. If CD=30 m, then AB is equal to
EASY
Stage 1 & 2
IMPORTANT
A man who is 6 ft tall found the angle of elevation of the top of a tower to be 45°. If the angle of depression at the foot of the tower as observed by the man is 30°, 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 60° from 30° in 15 min. How much time will the boat take to reach the foot of the lighthouse?
MEDIUM
Stage 1 & 2
IMPORTANT
A 50 m high pole which is above a 250 m high building observed by an observer standing at a height of 300 m. If the top of the building and the top of the pole subtends equal angle i.e., θ at the observer, then the horizontal distance of the observer from the pole is