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

Answer:

The answer to your question is letter A. 18 ft

Step-by-step 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

$\frac{height of the lamppost }{height of the man} = \frac{length of the lamppost to the shadow}{length of the man to the shadow}$

$\frac{x}{6} = \frac{12}{4}$

2.- Solve for x

              $x = \frac{6 x 12 }{4}$

3.- Simplifying and result

                     x = 18 ft