Question

A light post is 4 ft tall and cast a shadow of 5 ft. Find the distance between

the top of the post and the end of the shadow.

O 9 ft
O 6.4 ft
O 3 ft
O 4 ft

Answer 1

6.4ft

Explanation:

Answer 2

6.4 ft

Explanation:

Let “a” be the light post height

Let “b” be the length of the shadow

Let “c” be the distance from the top of the light post to the end of the light post’s shadow.

Then:

(a X a) + (b X b) = c X c

The Pythagorean Theorem will work pretty well here:

(4 X 4) + (5 X 5) = 16 + 25 = 41

The square root of 41 is: 6.4023

So, about 6.4 ft from the top of the post to the end of the shadow