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A man 2 metres high walks at a uniform s...

A man 2 metres high walks at a uniform speed of 5 km/hr away from a lamp-post 6 metres high. Find the rate at which the length of his shadow increases.

Text Solution

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PM : Distancefrom pole to man foot
`dx/dt = 5`km/hr
`/_ LPS ~= /_ HMS`
`(LP)/(PS) = (HM)/(MS)`
`(6-3) /(x+l) = 2/l`
`3l = x + l`
`2l = x`
`2(dl)/dt = dx/dt`
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