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Two poles standing on a horizontal groun...

Two poles standing on a horizontal ground are of heights 5 m and 10 m, respectively. The line joining their tops makes an angle of `15^(@)` with the ground. Then, the distance (in m) between the poles, is

A

`10 (sqrt(3) - 1)`

B

`5 (sqrt(3) + 1)`

C

`(5)/(2) (2 + sqrt(3))`

D

`5 (2 + sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
`tan 15^(@) = (5)/(d)`
`implies 2 - sqrt(3) = (5)/(d)`
`implies d = (5)/(2 - sqrt(3)) = 5 (2 + sqrt(3))`
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