A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6500 pounds directed along the axis of the barge (see figure). Find the tension in the tow lines when they each make an 18° angle with the axis of the barge. 18° 18° B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6500 pounds directed
along the axis of the barge (see figure). Find the tension in the tow lines when they each make an 18° angle
with the axis of the barge.
18°
18°
tep 1
Suppose that u is a unit vector with direction angle 6. If v = ai + bj is any vector that makes an angle 8 with
the positive x-axis, it has the same direction as u, and v can be written as follows.
Transcribed Image Text:A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6500 pounds directed along the axis of the barge (see figure). Find the tension in the tow lines when they each make an 18° angle with the axis of the barge. 18° 18° tep 1 Suppose that u is a unit vector with direction angle 6. If v = ai + bj is any vector that makes an angle 8 with the positive x-axis, it has the same direction as u, and v can be written as follows.
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