Question

Solve the triangle: b=200, c=250, A=75 degrees.

Answer 1

Answer:

  see below

Step-by-step explanation:

You can use the law of sines to choose the correct answer:

  b/c = sin(B)/sin(C) ≈ 0.8

For the first answer choice,

  sin(44.3)/sin(60.7) ≈ 0.8009 . . . . . . as close as you expect to get

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The second answer choice has the wrong ratio of sines.

The third answer choice has B > C, which it cannot be since b < c.

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The law of cosines can be used to find "a":

  a^2 = b^2 + c^2 -2bc·cos(A) = 102500-100000cos(75°) ≈ 76,618

  a ≈ √76618 ≈ 276.8 . . . . . . matches the first answer choice