Solve b=sin(47,40)/sin(44,90)*2,943

$$b = \frac { \sin ( 47,40 ) } { \sin ( 44,90 ) } \cdot 2,943$$

Solve for b

$$b = \frac{7174579812884062605}{2315527901529991} = 3098\frac{1074373944150090}{2315527901529991} \approx 3098.463986611$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$b = \frac{0.7313537016191705}{0.6946583704589973} \cdot 2943$$

Expand \frac{0.7313537016191705}{0.6946583704589973} by multiplying both numerator and the denominator by 10000000000000000.

$$b=\frac{7313537016191705}{6946583704589973}\times 2943$$

Express \frac{7313537016191705}{6946583704589973}\times 2943 as a single fraction.

$$b=\frac{7313537016191705\times 2943}{6946583704589973}$$

Multiply 7313537016191705 and 2943 to get 21523739438652187815.

$$b=\frac{21523739438652187815}{6946583704589973}$$

Reduce the fraction \frac{21523739438652187815}{6946583704589973} to lowest terms by extracting and canceling out 3.

$$b=\frac{7174579812884062605}{2315527901529991}$$

Assign b

$$b≔\frac{7174579812884062605}{2315527901529991}$$