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A man observes when he has climbed up 1/...

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 `alphadot` When he climbs the ladder completely, the angleof depression is `beta` . If the inclination of the ladder to the floor is `theta,` then prove that `cottheta=(2cotbeta-cotalpha)/2`

Text Solution

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The correct Answer is:
`cot^(-1)[(3cot beta - cotalpha)/2]`
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