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From the top of a building of height h m...

From the top of a building of height h meter, the angle of depression of an object on the ground is `theta`. What is the distance (in meter) of the object from the foot of the building ?

A

`h cot theta`

B

`h tan theta`

C

`h cos theta`

D

`h sin theta`

Text Solution

Verified by Experts

The correct Answer is:
A

Let AB be the building of height h meter. Let `'theta'` be the angle of depression.
To find: BC
In `DeltaABC, (AB)/(BC)=tan theta`
`rArr (h)/(BC)=tan theta rArr BC=h cot theta`
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