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From an aeroplane vertically above a str...

From an aeroplane vertically above a straight horizontal road, the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be `alphaa n dbeta` . Show that the height in miles of aeroplane above the road is give by `(tanalphatanbeta)/(tanalpha+tanbeta)`

A

`(tan alpha.tan beta)/(cot alpha + cot beta)`

B

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

C

`(cot alpha + cot beta)/(tan alpha.tan beta)`

D

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

Text Solution

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The correct Answer is:
D
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