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The angle of elevation of the top of a t...

The angle of elevation of the top of a tower from two places situated at distances 21m. And x m. from the base of the tower are `45^(@)` and `60^(@)` respectively. What is the value of x ?

A

`7sqrt(3)`

B

`7-sqrt(3)`

C

`7+sqrt(3)`

D

14

Text Solution

Verified by Experts

The correct Answer is:
A

In `DeltaADB, tan 45^(@)=(AD)/(BD)=(AD)/(21)`
AD=21m
In `DeltaADC, tan 60^(@)=(AD)/(x)`
`x=(21)/(sqrt(3))=7sqrt(3)m`
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