Honors Geometry Companion Book, Volume 2

8.2.2 Law of Sines and Law of Cosines - Practice

1.  Use a calculator to find sin 172 ° rounded to the nearest hundredth.

2.  In △ LKH , m ∠ K = 73 ° , m ∠ L = 32 ° , and h = 23. Find k rounded to the nearest tenth.

3.  In △ ABC , m ∠ C = 95 ° , a = 26, and b = 17. Find c rounded to the nearest tenth.

4.  In △ MDK , m = 16.4, d = 22, and k = 19. Find m ∠ D rounded to the nearest degree.

5.  A tree leans such that it is not perpendicular to the ground. The distance between points A and B is 30 feet, and point A is 20 feet from the center of the bottom of the tree. The distance from point A to point C at the top of the tree is 29 ft. The angle of elevation from point A to point C is 47 ° . To the nearest foot, what is the distance from point B to point C ? To the nearest degree, what is the angle of elevation from point B to point C ?

6.  An observer in tower A sees a boat 1538 yd away at an angle of depression of 35 ° . To the nearest yard, how far is the boat away from an observer in tower B ? To the nearest degree, what is the angle of depression to the boat from tower B ?

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