CP Algebra II 4/28/16
Law of Sines and Cosines Practice
Name: ______________________________
1.
Find the length of side b.
2.
Find the measure of angle S.
3.
Points A & B are on one side of a river, 100 ft apart, with C on the opposite side. The
angles A and B measure 70 and 60, respectively. To the nearest foot, what is the distance from
point A to point C?
4.
Find all missing sides in the triangle.
5.
Find the length of side j.
6.
In triangle ABC, angle C = 53˚, angle B = 44˚, and side b = 7. Solve the triangle.
7.
In triangle ABC, angle A is 118˚, angle B is 22˚, and side c is 24. Solve the triangle
8.
In triangle ABC, a = 8, c = 7, and angle A = 53˚. Solve the triangle
9.
In triangle ATM, angle A = 39˚, angle T = 54˚, and m = 27 cm. Solve the triangle
10.
Hooray for summer break! You decide to travel 297 miles from St. Louis to Chicago to visit a friend,
and then 532 miles from Chicago to Memphis for a country music concert. Finally, you drive 283
miles home from Memphis to St. Louis. Find all angle measures in the resulting triangle.
11.
A triangle has sides of length 4, 5 and 8.5. To three decimal places, what is the measure of the
largest angle?
12.
Two park rangers are in their stations S and T that are 30 miles apart. One particular day, the
ranger at station S sees a fire F at an angle of 40 with the line connecting the stations. The ranger
at station T sees the fire at an angle of 60 with ST. Who responds the fastest to the fire, Ranger S
or T?
13.
In triangle ABC, angle C = 33˚, b = 10, and c = 6. Solve the triangle.
14.
Find the area of triangle FSM.
16.
Solve the triangle.
15.
Find the area of triangle MJK.