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Solve the following problems dealing with Law of Cosines.
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1. |
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In
 , m<C =
42º,
a = 19 and b = 26. Find the length
of side c,
to the nearest integer.
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2. |
In a rhombus whose side measures 22 and
the smaller angle is 55º, find the length of the larger
diagonal, to the nearest tenth. |
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3. |
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Point A is 100 ft on a
horizontal line from point B. Point C,
on a line with a 20 degree rise from the horizontal, is
80 ft. from point B. Find the distance from
A to C, to the nearest integer. |
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4. |
In a rhombus with a
side of 24, the longer diagonal is 36. find, to
the nearest degree, the larger angle of the rhombus. |
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5. |
A triangular walking course has 2 sides
of 230 feet and 360 feet, and the angle between these
sides measures 38º. Find the length of the third
side of the course, to the nearest foot. |
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6. |
Three sides of a triangle measure 20m,
30m, and 40m. Find the largest angle of the
triangle to the nearest degree. |
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