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BrownBeauty4623
06.03.2020 •
Mathematics
A child, 1 m tall, is walking directly under a street lamp that is 6 m above the ground. If the child walks away from the light at the rate of 20 m/min, how fast is the child's shadow lengthening?
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Ответ:
The shadow is increasing with the rate of 4 m/min
Step-by-step explanation:
Consider x represents the length of the boy from the lamp and y represents the length of his shadow,
Given,
The height of boy = 1 m,
The height of lamp = 6 m,
By making the diagram of this situation,
We get two similar triangles one having sides 6 and x+y , and other having sides 1 and y,
Since in similar triangles corresponding sides are in same proportion,
Thus,
Differentiate with respect to t (time),
We have![\frac{dx}{dt}=20\text{ m per min}](/tpl/images/0534/9236/5d5ba.png)
Ответ:
you look like you need help but hope it does