Solve sin(55^circ)=20/x

$$\sin ( 55 ^ { \circ } ) = \frac{ 20 }{ x }$$

Solve for x

$$x = \frac{100000000000000000}{4095760221444959} = 24\frac{1701754685320984}{4095760221444959} \approx 24.415491775$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.8191520442889918 = \frac{20}{x}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$0.8191520442889918x=20$$

Divide both sides by 0.8191520442889918.

$$x=\frac{20}{0.8191520442889918}$$

Expand \frac{20}{0.8191520442889918} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{200000000000000000}{8191520442889918}$$

Reduce the fraction \frac{200000000000000000}{8191520442889918} to lowest terms by extracting and canceling out 2.

$$x=\frac{100000000000000000}{4095760221444959}$$