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Solve the triangle. B = 73°, b = 15, c = 8 Select one: a. C = 35.9°, A = 71.3°, a ≈ 15.2 b. C = 30.7°, A = 76.3°, a ≈ 15.2 c. C = 30.7°, A = 76.3°, a ≈ 21.3 d. Cannot be solved…
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Solve the triangle. B = 73°, b = 15, c = 8 Select one: a. C = 35.9°, A = 71.3°, a ≈ 15.2 b. C = 30.7°, A = 76.3°, a ≈ 15.2 c. C = 30.7°, A = 76.3°, a ≈ 21.3 d. Cannot be solved…
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Oct 25, 2017
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Solve the triangle.
B = 73°, b = 15, c = 8
Select one:
a. C = 35.9°, A = 71.3°, a ≈ 15.2
b. C = 30.7°, A = 76.3°, a ≈ 15.2
c. C = 30.7°, A = 76.3°, a ≈ 21.3
d. Cannot be solved
Mathematics
high-school
SebastianK
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Using the sine law of triangles to solve for angle C:
b / sin B = c / sin C
C = arcsin (c * sin B / b)
C = 30.7
°
Since interior angles of a triangle always add up to 180
°, we can use this to solve for angle A:
angle A = 180
° - 73° - 30.7
°
angle A = 76.3
°
Having solved for angle A, we can solve for side a using the sine law.
a / sin A = b / sin B
a = b * sin A / sin B
a = 15.2
Therefore, the correct answer is B.
Evan VanderZee
answered
Oct 31, 2017
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Evan VanderZee
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