Solve each triangle ABC that exists.

A = 42.5°, a = 15.6 ft, b = 8.14 ft

Solve each triangle ABC that exists.

B = 72.2°, b = 78.3 m, c = 145 m

Solve each triangle ABC that exists.

A = 38° 40', a = 9.72 m, b = 11.8 m

Solve each triangle ABC that exists.

A = 96.80°, b = 3.589 ft, a = 5.818 ft

Use the law of sines to find the indicated part of each triangle ABC.

Find B if C = 51.3°, c = 68.3 m, b = 58.2 m

Standing on one bank of a river flowing north, Mark notices a tree on the opposite bank at a bearing of 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river?

Use the law of sines to find the indicated part of each triangle ABC.

Find b if a = 165 m, A = 100.2°, B = 25.0°

Find the area of each triangle using the formula 𝓐 = ½ bh, and then verify that the formula 𝓐 = ½ ab sin C gives the same result.

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