Solve 10/50=x/sin100

$$\frac { 10 } { 50 } = \frac { x } { \sin 100 }$$

Solve for x

$$x=0.1969615506024416$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{10}{50} = \frac{x}{0.984807753012208}$$

Reduce the fraction \frac{10}{50} to lowest terms by extracting and canceling out 10.

$$\frac{1}{5}=\frac{x}{0.984807753012208}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{0.984807753012208}=\frac{1}{5}$$

Multiply both sides by 0.984807753012208.

$$x=\frac{1}{5}\times 0.984807753012208$$

Convert decimal number 0.984807753012208 to fraction \frac{61550484563263}{10000000000}. Reduce the fraction \frac{61550484563263}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{1}{5}\times \frac{61550484563263}{62500000000000}$$

Multiply \frac{1}{5} times \frac{61550484563263}{62500000000000} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 61550484563263}{5\times 62500000000000}$$

Do the multiplications in the fraction \frac{1\times 61550484563263}{5\times 62500000000000}.

$$x=\frac{61550484563263}{312500000000000}$$