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From the top of a lighthouse, 100 m hig...

From the top of a lighthouse, 100 m high, the angle of depression of a boat is `tan^(-1)((5)/(12))`. What is the distance between the boat and the lighthouse?

A

120m

B

180m

C

240m

D

360m

Text Solution

Verified by Experts

The correct Answer is:
C
Given, angle of depression, `theta = tan^(-1) ((5)/(12))`

`rArr tan theta = (5)/(12)`
`rArr (100)/(x)=(5)/(12)`
`rArr x=(100xx12)/(5)=240m`
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