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Mrac [35]
3 years ago
9

ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30° Calculate the size of angle ABC.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

9514 1404 393

Answer:

  ∠B = 40°  or  140°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions.

From the law of sines, ...

  B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)

Possible values for angle B are ...

  B = arcsin(9/14) ≈ 40.0°

  B = 180° -arcsin(9/14) ≈ 140.0°

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\text{Answer:}\ c.\ x=-\dfrac{67}{12}
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