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?
7. Non-Right Triangles
Law of Sines
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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°
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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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Determine the number of triangles ABC possible with the given parts.
a = 50, b = 26, A = 95°
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Find the area of each triangle ABC.
A = 42.5°, b = 13.6 m, c = 10.1 m
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Find the area of each triangle ABC.
B = 124.5°, a = 30.4 cm, c = 28.4 cm
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Find the area of each triangle ABC.
A = 56.80°, b = 32.67 in., c = 52.89 in.
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Find the area of each triangle ABC.
A = 59.80°, b = 15.00 cm, C = 53.10°
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A painter is going to apply paint to a triangular metal plate on a new building. Two sides measure 16.1 m and 15.2 m, and the angle between the sides is 125°. What is the area of the surface to be painted?
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A real estate agent wants to find the area of a triangular lot. A surveyor takes measurements and finds that two sides are 52.1 m and 21.3 m, and the angle between them is 42.2°. What is the area of the triangular lot?
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Determine the number of triangles ABC possible with the given parts.
a = 31, b = 26, B = 48°
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Determine the number of triangles ABC possible with the given parts.
c = 50, b = 61, C = 58°
753views - Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 56°, C = 24°, a = 22710views
- Textbook QuestionIn Exercises 1–12, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state 'no triangle.' If two triangles exist, solve each triangle.B = 37°, a = 12.4, b = 8.7531views
- Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 85°, B = 35°, c = 30631views