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2 March, 07:15

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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Answers (1)
  1. 2 March, 08:01
    0
    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.
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