   Chapter 4.4, Problem 23E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Each vertical section of a suspension bridge is in the shape of a trapezoid. For additional support, a vertical cable is placed midway as shown. If the two vertical columns shown have heights of 20 ft and 24 ft and the section is 10 ft wide. What will the height of the cable be? To determine

To Find:

The height of the vertical cable.

Explanation

In the given problem, the vertical columns are parallel.

It becomes the bases of the trapezoid.

The mid cable acts like a median of the trapezoid.

Therefore, to find the height of the mid cable, find the median of the trapezoid.

It is given that the heights (bases of trapezoid) of the vertical columns are 20 ft. and 24 ft.

We know that, the length of the median of a trapezoid is the average of the lengths of the bases...

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