PreCalculus Name: Chapter 7 Test

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PreCalculus
Chapter 7 Test
Name:
Directions: Show all work (general formulas, sketches, labels, algebra, …) and reasoning to receive full credit.
Organize all final answers.
Draw your diagrams and sketches neatly too!
Directions: Use the merits of the problem to draw a sketch of the situation appropriately and use appropriate triangle
techniques to solve the triangle. (If two solutions exist, complete and display both) Be sure to identify units (degrees,
yds, in, etc.) also.
Answers
a  6 in., b  9 in.,   45
1.
2.
c  10.5 ft.,   110,   30
3.
a  25 cm., c  22cm.,   50
4.
a  2.5 yds., b  1.5 yds., c  4.5 yds.
For #5 and 6, find the area of the given triangles.
5.
a  15 in., b  8 in., c  10 in.
6.
a  4 in., c  8 in.,   80
7
The lengths of the diagonals of a parallelogram are 10 feet & 16 feet. FIND the lengths of the sides of the
parallelogram if the diagonals intersect at an angle of 28.
8.
A sailboat leaves port on a bearing of S 72 W. After sailing for 2 hours at 12 knots, the boat turns 90 toward
the south. After sailing for 3 hours at 9 knots on this course, what is the bearing of the boat from Port?
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