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Stels [109]
3 years ago
15

Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.

Mathematics
1 answer:
defon3 years ago
6 0
1. By the Law of Sines, you have:

 SinA/a=SinB/b=SinC/c

  2. You don't need the fraction SinC/c, so you can eliminate it. Then:

 SinA/a=SinB/b

 A=40°
 a=19
 B=m∠b
 b=13

 3. When you substitute this values into SinA/a=SinB/b, you obtain:

 SinA/a=SinB/b
 Sin(40°)/19=SinB/13
 SinB=13xSin(40°)/19
 m∠b=SinB^-1(13xSin(40°)/19)
 m∠b=26.1°

 Therefore, the answer is: 26.1 degrees.
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