Precal II ---

Chapter 8 Test

Question 1 Solve the triangle using the Law of Sines. a = 14 m A = 68° B = 70° What are the lengths of sides b and c?

a. b = 13.5 m, c = 9.5 m b. b = 14.0 m, c = 10.5 m c. b = 14.2 m, c = 10.1 m d. b = 14.7 m, c = 9.9 m

Question 2 In triangle ABC, A = 60°, and c = 28 ft. How many triangles can be formed if a = 27 ft?

a. 0 b. 1 c. 2 d. 3

Question 3 In triangle ABC, A = 60°, and c = 28 ft. How many triangles can be formed if a = 12 ft?

a. 0 b. 1 c. 2 d. 3

Question 4 In triangle ABC, A = 60°, and c = 28 ft. How many triangles can be formed if a = 18 ft?

a. 0 b. 1 c. 2 d. 3

Question 5 Solve the triangle. If no solution exists, say so. a = 22.5 mi B = 45° b = 18.0 mi

a. A = 62.1°, C = 72.9°, c = 24.3 mi b. A = 117.9°, C = 17.1°, c = 7.5 mi c. A = 62.1°, C = 72.9°, c = 24.3 mi or A = 117.9°, C = 17.1°, c = 7.5 mi d. No solution

Question 6 Solve the triangle. If no solution exists, say so. a = 159 mi b = 336 mi c = 275 mi

a. A = 28.0°, B = 96.6°, C = 55.5° b. A = 28.0°, B = 97.2°, C = 54.9 c. A = 28.0°, B = 97.9°, C = 54.2° d. A = 28.0°, B = 98.8°, C = 53.3°

Question 7 Solve the triangle. If no solution exists, say so. c = 62.5 cm B = 20° a = 88.2 cm

a. b = 80.7 cm, A = 22.0°, C = 138.0° b. b = 36.4 cm, A = 124.0°, C = 36.0° c. b = 36.4 cm, A = 56.0°, C = 104.0° d. No solution

Question 8 Find the area of the triangle (to the same number of significant digits as the side with the least number of significant digits). a = 34 yards, b = 17 yards, A= 90°

a. 250.28 square yards b. 250 square yards c. 260 square yards d. 255.28 square yards

Question 9 Find the area of the triangle (to the same number of significant digits as the side with the least number of significant digits).

a = 165 feet, b = 379 feet, C= 109°

a. 29,550 square feet b. 29,600 square feet c. 29,514.57 square feet d. 29,564.57 square feet

Question 10 Find the area of the triangle (to the same number of significant digits as the side with the least number of significant digits).

a = 291 inches, b = 555 inches, c = 481 inches

a. 69,956.80 square inches b. 76,952.47 square inches

c. 77,000 square inches d. 70,000 square inches