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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

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.

$\begin{array}{rcl} \frac{h}{50} & = & \frac{8}{10} . . . . . . . . . . . . . . . (1) \\ h & = & \frac{8}{10} \times 50 \\ = & 8 \times 5 \\ = & 40 f e e t \end{array}$

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Most popular questions from this chapter

Simplify the complex rational expression by writing it as division:

$\frac{\frac{3}{4} - \frac{1}{3}}{\frac{1}{8} + \frac{5}{6}}$

In the following exercises, multiply the rational expressions.

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