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A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the rate of 1.1 m/sec. How fast is the length of the shadow increasing when he is 1m away from the pole.

A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the
rate of 1.1 m/sec. How fast is the length of the shadow increasing when he is 1m away from the
pole.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
From the given data
A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the rate of 1.1 m/sec.
So x2+y2=1002+4402 by differentiating
we get dy/dt=(-x/y)dx/dt by substituting the values we get dy/dt=0.4cm/s

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