Solve b=12sin80/sin55

$$b = \frac { 12 \sin 80 } { \sin 55 }$$

Solve for b

$$b = \frac{59088465180732480}{4095760221444959} = 14\frac{1747822080503054}{4095760221444959} \approx 14.426739356$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$b = \frac{12 \cdot 0.984807753012208}{0.8191520442889918}$$

Multiply 12 and 0.984807753012208 to get 11.817693036146496.

$$b=\frac{11.817693036146496}{0.8191520442889918}$$

Expand \frac{11.817693036146496}{0.8191520442889918} by multiplying both numerator and the denominator by 10000000000000000.

$$b=\frac{118176930361464960}{8191520442889918}$$

Reduce the fraction \frac{118176930361464960}{8191520442889918} to lowest terms by extracting and canceling out 2.

$$b=\frac{59088465180732480}{4095760221444959}$$

Assign b

$$b≔\frac{59088465180732480}{4095760221444959}$$