7. Non-Right Triangles
Law of Cosines
- Textbook QuestionIn Exercises 5–8, each expression is the right side of the formula for cos (α - β) with particular values for α and β. b. Write the expression as the cosine of an angle.5π π 5π πcos ------- cos -------- + sin -------- sin -------12 12 12 12553views
- Textbook Question
CONCEPT PREVIEW Assume a triangle ABC has standard labeling.
a. Determine whether SAA, ASA, SSA, SAS, or SSS is given.
b. Determine whether the law of sines or the law of cosines should be used to begin solving the triangle.
a, b, and C
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Solve each triangle. Approximate values to the nearest tenth.
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Solve each triangle. Approximate values to the nearest tenth.
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Solve each triangle. Approximate values to the nearest tenth.
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Solve each triangle. See Examples 2 and 3.
A = 41.4°, b = 2.78 yd, c = 3.92 yd
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Solve each triangle. See Examples 2 and 3.
C = 45.6°, b = 8.94 m, a = 7.23 m
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Solve each triangle. See Examples 2 and 3.
a = 9.3 cm, b = 5.7 cm, c = 8.2 cm
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Solve each triangle. See Examples 2 and 3.
a = 42.9 m, b = 37.6 m, c = 62.7 m
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Solve each triangle. See Examples 2 and 3.
a = 965 ft, b = 876 ft, c = 1240 ft
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Solve each triangle. See Examples 2 and 3.
A = 80° 40', b = 143 cm, c = 89.6 cm
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Solve each triangle. See Examples 2 and 3.
B = 74.8°, a = 8.92 in., c = 6.43 in.
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Solve each triangle. See Examples 2 and 3.
A = 112.8°, b = 6.28 m, c = 12.2 m
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CONCEPT PREVIEW Assume a triangle ABC has standard labeling.
a. Determine whether SAA, ASA, SSA, SAS, or SSS is given.
b. Determine whether the law of sines or the law of cosines should be used to begin solving the triangle.
a, B, and C
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A plane has an airspeed of 520 mph. The pilot wishes to fly on a bearing of 310°. A wind of 37 mph is blowing from a bearing of 212°. In what direction should the pilot fly, and what will be her ground speed?
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