Question

A 6 foot tall man is standing 8 feet from the base of a lamppost, as shown in the diagram. If the light from the lamppost casts a 4 foot shadow of the man, what is the height in feet of the lamppost?

A. 18
B. 14
C. 12
D. 9

Answer 1

The answer to your question is letter A. 18 ft

Explanation:

Data

Man height = 6 ft

distance from the lamppost to the man = 8 ft

shadow = 4 ft

height of the lamppost = x

Process

1.- Use proportions to use this problem

`(height of the lamppost )/(height of the man) = (length of the lamppost to the shadow)/(length of the man to the shadow)`

`(x)/(6) = (12)/(4)`

2.- Solve for x

`x = (6 x 12 )/(4)`

3.- Simplifying and result

x = 18 ft