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3 years ago

Use Laws of Sines and Cosines to find the measurement indicated. Round your answer to the nearest tenth.

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Step-by-step explanation:

first of all, as the sum of all angles in a triangle is always 180°, the missing angle B is

B = 180 - 89 - 30 = 61°

the law of sine is

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the associated angles.

14/sin(61) = AB/sin(30) = BC/sin(89)

BC = 14×sin(89)/sin(61) = 16.00451901...

so, 16 is the correct answer.

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