Posted by **Soph** on Wednesday, December 5, 2012 at 2:43pm.

A man places a torche on the ground, 10m away from a wall. He sees a shade on the wall and gets a friend to measure the height of the shadow as he walks towards the wall. Here are the results:

Distance from torch to man height of shadow

1 20

2 10

3 6.7

4 5

5 4

6 3.3

7 2.9

8 2.5

find the height of the man

- Physics -
**Gene**, Wednesday, December 5, 2012 at 4:56pm
Lets denote x = the height of the man, h = the height of the shadow (the right column of data), and y = the distance from torch to the man (the left column of data), then you can write a proportion: x/y = h/10 or x = y*h/10. Use any pair of given data now to find x: the first => 1*20/10 = 2; the second => 2*10/10 = 2, and so on. Finally, x =2.

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