   Chapter 5.4, Problem 19E 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

A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are 8 ft apart. How far has each of the midsections been raised? To determine

To Find:

Length of the midsections been raised.

Explanation

Given A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are 8 ft apart.

The figure can be redrawn as,

From the given data,

AB = 104 ft.

CD = EF = 8 ft.

And from the redrawn figure,

AE = FB

AC=12(AB)    =12(104)    =52

And from the figure,

AB = AE+EF+FB

104 = AE+8+AE

104 = 2AE+8

2AE = 96

AE = 962

AE = 48

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