Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Question
Chapter 9.3, Problem 34E
a.
To determine
To find: Total amount of wire required.
a.
Expert Solution
Answer to Problem 34E
Total amount of wire required including an extra 0.1 meter of wire at each attachment point is 1.6 meter.
Explanation of Solution
Given:
A tree to be supported by attaching three wires. One end of each wire to the tree at a point 1.2 meters above the ground, and the other end of each wire to a stake in the ground at appoint 0.5 meter from the tree.
Formula used:
Pythagoras theorem,
Hypotenuse = √p2+b2
Calculation:
Total amount of wire required,
=√0.52+1.22=1.3
Include an extra 0.1 meter of wire at each attachment point,
=1.3+(10100×3)=1.6
Hence, total amount of wire required including an extra 0.1 meter of wire at each attachment point is 1.6 meter.
b.
To determine
To find:The height at which you can attach the wire.
b.
Expert Solution
Answer to Problem 34E
The height at which you can attach the wireallowing extra wire as described in part (a) is 1.41 meters .
Explanation of Solution
Given:
A tree to be supported by attaching three wires. One end of each wire to the tree at a point 1.2 meters above the ground, and the other end of each wire to a stake in the ground at appoint 0.5 meter from the tree.
Formula used:
Pythagoras theorem,
Hypotenuse = √p2+b2
Calculation:
Total length of wire = 4.2 meters
Number of supports to be given = 3
Therefore,
Length of each support,
=4.23=1.4
Hence, length of each support =1.4 meters.
By pythogoras theorem, find height
Height =√h2−b2
=√1.42−0.52=1.307≈1.31
Hence, the height at which you can attach the wire is 1.31 meters
Allow the extra wire as described in part (a)
Therefore, the height at which you can attach the wireallowing extra wire as described in part (a) is,
=1.31+0.1=1.41 meters
Chapter 9 Solutions
Pre-Algebra
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