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

Use Laws Of Sines And Cosines To Find The Measurement Indicated Round Your Answer To The Nearest Tenth class=

Sagot :

Reinhard10158idn

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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