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The elevation of a tower due north of a ...

The elevation of a tower due north of a station A is `alpha` and at another station B due west of it is `beta. If AB=a, the height of the tower is

A

`a sin alpha sin beta/(sqrt(sin^(2) alpha-sin^(2)beta))`

B

`a cos alpha cos beta/(sqrt(cos^(2) alpha+cos^(2)beta))`

C

`a tan alpha tan beta/(sqrt(tan^(2) alpha+tan^(2)beta))`

D

`a cot alpha cot beta/(sqrt(cot^(2) alpha+cot^(2)beta))`

Text Solution

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The correct Answer is:
D
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