Precalculus Test- 4.8, 6.1 & 6.2 Practice Test

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Name: __________________________ Date: _____________

1. If B = 22° and a = 6 , determine the value of b. Round to two decimal places.

C

c

B

b A

a

C

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b A

a

2. If a = 6 and c = 29 , determine the value of A. Round to two decimal places.

C

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b A

a

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b A

a

Precalculus Test- 4.8, 6.1 & 6.2 Practice Test

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3. Find the altitude of the isosceles triangle shown below if θ = 48° and b = 23 feet . Round answer to two decimal places.

θ θ

b

4. Given A = 54° , B = 65° , and a = 7.1 , use the Law of Sines to solve the triangle for the value of b. Round answer to two decimal places.

5. Given C = 120° , a = 10.39 , and c = 18 , use the Law of Sines to solve the triangle (if possible) for the value of b. If two solutions exist, find both. Round answer to two decimal places.

Precalculus Test- 4.8, 6.1 & 6.2 Practice Test

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6. Given C = 127° , B = 23° , and c = 15 , use the Law of Sines to solve the triangle for the

value of a. Round answer to two decimal places.

7. Given a = 4 , b = 5 , and c = 6 , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.

8. Given A = 69° , b = 4 , and c = 8 , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.

9. Use Heron's area formula to find the area of the triangle pictured below, if a = 8 inches, b = 12 inches, and c = 6 inches.

10. A ship leaves port at noon and has a bearing of S 25! W. The ship sails at 20 knots. How many nautical miles south will the ship have traveled by 8 :00 P.M.? Round your answer to two decimals.

Precalculus Test- 4.8, 6.1 & 6.2 Practice Test

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11. A straight road makes an angle, A, of 11° with the horizontal. When the angle of elevation, B, of the sun is 60° , a vertical pole beside the road casts a shadow 7 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

12. A plane flies 775 miles from City A to City B with a bearing of 30! (clockwise from north). Then it flies 618 miles from City B to City C with a bearing of 49!. Find the straight-line distance from City C to City A. Round your answer to two decimals.

13. Determine the area of a triangle having the following measurements. Round your answer to two decimal places. A = 123°, b = 8, and c = 7

Precalculus Test- 4.8, 6.1 & 6.2 Practice Test

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Answer Key

1. 2.42 2. 11.94° 3. 12.77 feet 4. b = 7.95 5. b = 10.39 6. a = 9.39 7. 41.41° 8. 7.55 9.

455 10. 145.01 nautical miles 11. 10.57 feet 12. 1374.14 miles 13. 23.48 sq. units