Question

A man who is 5 feet tall stands 15 feet from a lamppost that is 27 feet high, how far away from the man is the tip of his shadow?

Answer 1

The tip of the shadow is at distance 3.41 ft from man

Step-by-step explanation:

As per given figure we know that the tip of the shadow will form at a distance "x" from the man

now the similarity of the two triangles formed here we can say

`(27)/(15 + x) = (5)/(x)`

now solving above equation

`27 x = (15 + x) 5`

`27 x = 75 + 5 x`

`27 x - 5 x = 75`

`x = (75)/(22)`

`x = 3.41 ft`