CBSE Class 12-science Answered
A girl whose height is 160 cm is walking with a speed of 4 m/min away from a lamppost, which is 6.4 m high. Now, her shadow is being formed which is increasing as she moves away. Find out the rate at which the shadow is increasing.
Asked by Topperlearning User | 05 Aug, 2014, 01:49: PM
Expert Answer
Here let us take 'x' be the distance covered by the girl in time t.
Then
If 'y' is length of shadow in time 't' min then the rate at which the
Length of shadow is increasing is which is required.
From the figure it is clear that
which means
Now differentiating the above equation with respect to it, we get
But it is given,
This means that the shadow is increasing at the rate of 12m/min.
Answered by | 05 Aug, 2014, 03:49: PM
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