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From the top of a light house, the angles of depression of two ships on the opposite sides of its are observed to be `alphaa n dbeta` . If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is `h(tanalpha+tanbeta)/(tanalphat a nbeta)`

A

`(a)/(sin alpha + sin beta)`

B

`(a)/(cos alpha + cos beta)`

C

`(a)/(tan alpha + tan beta)`

D

`(a)/(cot alpha + cot beta)`

Text Solution

Verified by Experts

The correct Answer is:
D
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