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The angle of elevation of a tower PQ at ...

The angle of elevation of a tower PQ at a point A due north of it is `30^(@)` and at another point B due east of A is `18^(@)`. If AB =a. Then the height of the tower is

A

`a(2+sqrt(5))`

B

`a(2-sqrt(5))`

C

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

D

None of these

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The correct Answer is:
C
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