Question

In AABC, m_A = 45°, m_B= 89º and AC = 15. To the nearest tenth what is the measure of BA? ANSWER RN PLz!!

O A. 10
O B. 11.34
O C. 10.8
O D. 11


Answer 1

Answer: 10.8

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Work Shown:

The triangle has the given angles A = 45 and B = 89

Let's find angle C

A+B+C = 180

C = 180-A-B

C = 180-45-89

C = 46

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Segment BA, or side c, is opposite angle C

Segment AC, or side b, is opposite angle B

So we have this known info:

• angle B = 89
• side b = 15
• angle C = 46

Apply the law of sines to find c. Make sure your calculator is in degree mode.

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

sin(89)/15 = sin(46)/c

c*sin(89) = 15*sin(46)

c = 15*sin(46)/sin(89)

c = 10.7917406394501

c = 10.8