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If the angles of elevation of the top of...

If the angles of elevation of the top of a tower from two points at distances a and b from the base and in the same straight line with it are complementary then the height of the tower is

A

ab metres

B

`sqrt(ab)` metres

C

`a/b` metres

D

`(a + b)` metres

Text Solution

Verified by Experts

The correct Answer is:
B
`tan(90^(@)-0) = (AB)/a`
`AB = a.cottheta`
Again, `tan theta = (AB)/b`
`AB = btan theta`
`AB^(2) = ab`
`AB = sqrt(ab)`
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