A boy of height 95 cm is walking away from base of a lamp post at a speed of 1.5 m/s.If the lamp post is 3.8 m above the ground, find the length of his shadow after 5 seconds.

Answer 1

Assuming he started at the pole, after 5 seconds he is 7.5 m away.

So, if the shadow has length s, use similar triangles to get

(s+7.5)/3.8 = s/0.95

Now just solve for s.

Answer 2

(x+7.5)/3.8=x/0.95
3.8x=0.95(x+7.5)
3.8x=0.95x+7.125
3.8x-0.95x=7.125
2.85x=7.125
285x/100=7125/1000
x=7125*2850
x=2.5

Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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