Name
Period
Date
Score
n5
The Law of Cosines Application Practice
PA Anchors: 82; Cl
Use the Law of Cosines to solve each problem. Sketch the triangle and show all
answers to the nearest unit.
1.
Please, round your
A triangular field is 44.2 yalfrs on one side and 38.7 yards on another side. The measure of the angle
between them is 67.6. Determine the length of the third side.
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2.
work!
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A triangular lot is 506.8 feet on one side and 602.5 feet on another side. The measure of the angle
between them is 57.4". Determine the length of the third side.
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3.
In
parallelogram, two adjacent sides meet at an angle of 108o. The sides arc 17 inches and23 inches
long. Find the length of the shorter diagonal.
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4.
An isosceles triangle with congruent sides of length 18 cm has a vertex angle of
length of the third side.
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An adjustable steel brace with two arms is used to support
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a basketball backboard on a garage roof.
backboard is 52 in. high and the brace arms attached at the top and bottom
determine the angle between the
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braces.
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6.
Determine the
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72.
are 64 and 68
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in., respectively,
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Two airplanes leave an airport at the same time. The heading of the first is 80" and the heading of the
second is 190'. If the planes travel at the rates of 500 mi/hr and 540 mi/hr, respectively, how far apart
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Bonus: The hands on a clock measure 3 in and 5 in, respectively. At the top of the hour, the distance
between the tips of the hands is 7 in. What hour is the clock showing?
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