SOLUTION: A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (

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Question 256309: A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (Hint: Use similar triangles.)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


From the problem, it is indeed a magnification of similar triangles

The sides of the angels are in the same ratio:
6%2F1.5=11%2Fx
6x=%281.5%29%2811%29=16.5 ---> cross%286%29x%2Fcross%286%29=cross%2816.5%292.75%2Fcross%286%29
red%28x=2.75m%29, Length of shadow, Answer

Thank you,
Jojo