On a dark and lonely night, a man is standing 5 meters away from a streetlight. The man is 2 meters tall and the light is 6 meters high. How longis the man's shadow?

Expert Answers
jeew-m eNotes educator| Certified Educator

Please refer the attached image with the explanations.

The notation is as follows

BC = light post height

DE = height of man

AD = length of shadow

Using sine law we can say;

`(DE)/(BC) = (AD)/(AB)`

`2/6 = x/(5+x)`

`2(5+x) =6x`

`10 = 4x`

`x = 2.5`

The shadow of man is 2.5m long.

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)