Question

Cassie wants to determine the length of the shadow that a 60-foot tall telephone pole casts without measuring it. If Cassie's mailbox, which is 42 inches in height, casts a shadow that is 21 inches in length, how long is the shadow that the telephone pole casts?

Answer 1

30 ft

Explanation:

You want to know the length of the shadow of a 60 ft pole if a 42-inch mailbox casts a 21-inch shadow.

Ratio

The shadow of the mailbox is 21/42 = 1/2 of its height. The shadow of the pole will have the same proportion, so will be ...

(1/2)(60 ft) = 30 ft

The telephone pole casts a shadow that is 30 ft long.

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