7. Non-Right Triangles

Solve each triangle ABC.

A = 39.70°, C = 30.35°, b = 39.74 m

Solve each triangle ABC.

B = 42.88°, C = 102.40°, b = 3974 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

Solve each triangle ABC.

C = 79° 18', c = 39.81 mm, A = 32° 57'

Solve each triangle ABC that exists.

B = 39.68°, a = 29.81 m, b = 23.76 m

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

To find the distance AB across a river, a surveyor laid off a distance BC = 354 m on one side of the river. It is found that B = 112° 10' and C = 15° 20'. Find AB. See the figure.

<IMAGE>

To determine the distance RS across a deep canyon, Rhonda lays off a distance TR = 582 yd. She then finds that T = 32° 50' and R = 102° 20'. Find RS. See the figure.

<IMAGE>

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.

<IMAGE>

Determine the number of triangles ABC possible with the given parts.

a = 50, b = 26, A = 95°

Find the area of each triangle ABC.

A = 42.5°, b = 13.6 m, c = 10.1 m