Question

Use the Law of Sines to solve the triangles. B = 29°, b = 26, c = 28

Answer 1

26/Sin(29) =28/Sin(C) ..... cross multiply..... 28sin(29) =26Sin(C) ..... 13.57=26Sin(C)..... divide 26.... .522=sin(C) .... sin^-(.522) .... Sin(C)=
31.47

Answer 2

The Law of Sines appears as follows:

  b             c            a
------- = -------- = --------
sin B      sin C     sin A

Here there is no mention of side a or of angle A, so focus on
    b             c        
------- = -------- 
sin B      sin C 

Plugging in the given values:

  26              28
--------- = ------------
sin 29       sin C

Solving for sin C:  sin C = 28 sin 29
                                          ------------
                                                 26

Solve for sin C.

Finally, use the arcsin x function to determine the value of angle C in radians and in degrees.