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A man observe that was he has climbed up...

A man observe that was he has climbed up `1/3` of the length of an inclined ladder ,placed against a wall the angular depression of an object on the floor is `alpha` and that after he reached the top of the ledder , the angular depression `beta` If the inclintaion of the ladder to the is `theta` then prove that cot `theta=(3 cot beta-cot alpha)/2`

A

`(3 cot beta - cot alpha)/(2)`

B

`(3 cot alpha - cot beta)/(2)`

C

`( cot beta - cot alpha)/(2)`

D

`(cot alpha + cot beta)/(2)`

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The correct Answer is:
A
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A man observes when he has climbed up (1)/(3) of the length of an inclined ladder placed against a wall,the angular depression of an object on the floor is alpha. When he climbs the ladder on completely,the angleof depression is beta .If the inclination of the ladder to the floor is theta ,then prove that cot theta=(2cot beta-cot alpha)/(2)

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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
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