Math Transition To College Math - Unit 10: Law of Sines and Law of Cosines
1) One formula for the area of a triangle is shown below. State another formula for the area of a triangle.

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2) The Law of Sines is used to solve what types of triangles?

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3) Read the comment below, and then explain.

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4) What information about the sides and or angles do you need in order to find the area of triangle XYZ?

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For the next three problems, (a) state an equation that would be used to find the area of the triangle, and then (b) find the area to the nearest tenth.

5) a = 15, b = 20, C = 63 degrees

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6) a = 6, c = 4, B = 52 degrees

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7) b = 10, c = 17, A = 46 degrees

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8) Solve the triangle using the Law of Sines. Round the answers to the nearest tenth.

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9) Solve the triangle using the Law of Sines. Round the answers to the nearest tenth.

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10) Solve the triangle using the Law of Sines. Round the answers to the nearest tenth.

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11) Explain how you know when to use the Law of Cosines to solve a triangle.

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12) Solve the triangle using the Law of Cosines, the Law of Sines, and the definition of a triangle. Round the answers to the nearest tenth.

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13) Solve the triangle using the Law of Cosines, the Law of Sines, and the definition of a triangle. Round the answers to the nearest tenth.

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14) Solve the triangle using the Law of Cosines, the Law of Sines, and the definition of a triangle. Round the answers to the nearest tenth.

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Applications

15) Mr. Jones flew his plane 300 miles north before turning 15 degrees clockwise. He flew 75 miles in that direction. How far is Mr. Jones from his starting point? (Draw a diagram to help you). Round the answer to the nearest whole number.

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16) A sailboat is sighted at sea from two observation points on the coast that are 30 miles apart. The angle between the coast and the line between the sailboat and the first observation point is 34 degrees. The angle between the coast and the second observation point measures 45 degrees. How far is the sailboat from the second observation point? Round the answer to the nearest whole number.

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