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From a point a metres above a lake the a...

From a point a metres above a lake the angle of elevation of a cloud is `alpha` and the angle of depression of its reflection is `beta`. Prove tha the height of the cloud is
`(a sin(alpha + beta))/(sin(beta-alpha))` metres.

A

`(h(cot alpha + cot beta))/(cot beta - cot alpha)`

B

`(h(tan alpha-tan beta))/(tan alpha+tan beta)`

C

`(h sin (alpha + beta))/(sin (beta-alpha))`

D

`(h sin (alpha-beta))/(sin(alpha+beta))`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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