A man is walking away from a lamppost with a light source h = 4 m above the ground.

Question

The man is m = 2 m tall. How long is the man's shadow when he is d = 12 m fr

Answer 1

12 meters

If you draw a right triangle with height 2 and base 12, going from the top of the man's head horizontally to the light source perpendicular, it creates an angle of 9.16 degrees.

this triangle is similar to another right triangle with base 24 and height 4. 24-12 = 12 meters, the length of his shadow.