Chapter 5.4, Problem 19E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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

And from the figure,

AB = AE+EF+FB

104 = AE+8+AE

104 = 2AE+8

2AE = 96

AE =

AE = 48

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