Solve x*sin(54)=20*sin(63)

$$x \times \sin ( 54 ) =20 \times \sin ( 63 )$$

Solve for x

$$x = \frac{35640260967534712}{1618033988749895} = 22\frac{43513215037022}{1618033988749895} \approx 22.026892646$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x \cdot 0.8090169943749475 = 20 \cdot 0.8910065241883678$$

Multiply 20 and 0.8910065241883678 to get 17.820130483767356.

$$x\times 0.8090169943749475=17.820130483767356$$

Divide both sides by 0.8090169943749475.

$$x=\frac{17.820130483767356}{0.8090169943749475}$$

Expand \frac{17.820130483767356}{0.8090169943749475} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{178201304837673560}{8090169943749475}$$

Reduce the fraction \frac{178201304837673560}{8090169943749475} to lowest terms by extracting and canceling out 5.

$$x=\frac{35640260967534712}{1618033988749895}$$