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Chapter 7: Q. 7.91 (page 702)

A telephone pole casts a shadow that is 50 feet long. Nearby, an 8-foot tall traffic sign casts a shadow that is 10 feet long. How tall is the telephone pole?

Short Answer

Expert verified

The telephone poll s 40 feet long.

Step by step solution

01

Given information

The telephone pole that casts the shadow 50 feet along with the 8-feet long traffic signal casts the shadow 10 feet.

02

Find the length of the poll

Apply the proportions to find the length of the poll.

  • As given, the proportion for the poll and the traffic signal with respect to the shadow is the same.
  • Hence solve equation (1) to find the value of h that represents the length of the poll.

h50=810...............(1)h=810脳50=8脳5=40feet

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