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netineya [11]
4 years ago
9

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

Mathematics
1 answer:
Nataliya [291]4 years ago
6 0

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

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