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PRE-CALCULUS CM
LAW OF SINES / LAW OF COSINES
SOLVE EACH TRIANGLE, IF POSSIBLE.
1) A = 18°, B = 28°, b = 100
2) B = 15°, A = 12, c = 6
3) a = 9, b = 3, c = 11
4) B = 130°, a = 10, b = 8
5) B = 110°, C = 30°, a = 12
6) A = 20°, c = 8, a = 9
7) A = 98°, b = 11, c = 19
8) C = 16°, b = 92, c = 32
FIND THE AREA OF EACH TRIANGLE.
9) C = 26, a = 6, b = 14, c = 9
10) B = 27, a = 10, b = 5, c = 11
11) Town B is 26 miles from town A at a bearing of S 25° W. Town C is 54 miles from town A at a bearing of S 7° E.
Find the distance from town B to town C.
12) A boat is having trouble in a river and is spotted by observers in lighthouses A and B along the coast. Lighthouse B
is 1.5 miles due east of lighthouse A. The bearing of the boat from lighthouse A is S 20°E. The bearing of the boat
from lighthouse B is S 42° W. Find the distance from each lighthouse to the boat.
13) Two observers are 1600m apart on a straight road and measure the angles of elevations of a helicopter hovering
over the road between them. If the angles are 32° and 50.5°, how high is the helicopter?
14) A cruise ship and a freighter leave a port at the same time and travel in straight-line courses at 30 km/h and 10km/h
respectively. Two hours later, they are 50 km apart. What is the angle at the port?
15) From a point 100m from a building, the angles of elevation of the top and bottom of a flagpole atop the building are
62.2° and 59.5° respectively. How tall is the flagpole?
16) Two sides of a triangular plot of land have lengths 400 feet and 600 feet. The measure of the angle between those
sides is 46.3°. Find the perimeter and area of the plot.