Question

A tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. if the boy is 5.5 feet tall, how tall is the tree?

Answer 1

Answer: 23.2 ft

Step-by-step explanation:

The comparison is height to shadow, so the ratios can be written as height/shadow. One ratio represents the tree while the other represents the boy. The unknown value is the height of the tree, so x will fall in the numerator.  

Find the cross products, set them equal, and simplify.

x/38=5.5/9

9⋅x=38⋅5.5

9x=209

Divide both sides by 9 to isolate the variable x.  

x=23.2

Answer 2

Answer: 1,881 ft.

Step-by-step explanation: If you multiply 9 ft by 5.5 ft then you get 49.5 ft. So all you do after that is multiply 49.5 by 38 ft.

Hope this helped! (^_^)

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