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Solve for x using law of sines. Which formula would I use? Thank you!

Solve for x using law of sines. Which formula would I use? Thank you!-example-1

1 Answer

4 votes

Answer: approximately 20.28051795

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Work Shown:

The given angles are A = 72 and C = 45. The missing angle B is

A+B+C = 180

B = 180-A-C

B = 180-72-45

B = 63

which is then used with this variation of the law of sines formula

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

sin(72)/x = sin(63)/19

19*sin(72) = x*sin(63) .... cross multiply

x*sin(63) = 19*sin(72)

x = 19*sin(72)/sin(63)

x = 20.28051795 approximately

Make sure your calculator is in degree mode.

User Tarnjeet Singh
by
6.6k points
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