Question

A young girl with a height of 124 centimeters casts a shadow that is 93 centimeters long. She is standing next to a tree that casts a shadow that is 13.5 meters long. How tall is the tree?'

A. 14 m
B. 16 m
C. 18 m
D. 20 m

Answer 1

1. Let's convert 124 centimeters (the height of the young girl) and 93 centimeters (the length of her shadow).

2. We know that 1 meter=100 centimeters, then:

124/100=1.24 meters
93/100=0.93 meters

3. If the girl has a height of 1.24 meters and casts a shadow with 0.93 meters long, what height ("x") will we obtain with a shadow of 13.50 meters long?

1.24 m-----0.93 m
x-----13.5 m

x=(13.5 m)(1.24 m)/0.93 m
x=18.0 m

How tall is the tree? The answer is: 18.0 meters