Solve x/sin(69.1)=5/sin(58.4)

$$\frac{ x }{ \sin ( 69.1 ) } = \frac{ 5 }{ \sin ( 58.4 ) }$$

Solve for x

$$x = \frac{46710223716051475}{8517269341430476} = 5\frac{4123877008899092}{8517269341430476} \approx 5.484178302$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{x}{0.9342044743210295} = \frac{5}{0.8517269341430476}$$

Expand \frac{5}{0.8517269341430476} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{x}{0.9342044743210295}=\frac{50000000000000000}{8517269341430476}$$

Reduce the fraction \frac{50000000000000000}{8517269341430476} to lowest terms by extracting and canceling out 4.

$$\frac{x}{0.9342044743210295}=\frac{12500000000000000}{2129317335357619}$$

Multiply both sides by 0.9342044743210295.

$$x=\frac{12500000000000000}{2129317335357619}\times 0.9342044743210295$$

Convert decimal number 0.9342044743210295 to fraction \frac{1868408948642059}{10000000000}. Reduce the fraction \frac{1868408948642059}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{12500000000000000}{2129317335357619}\times \frac{1868408948642059}{2000000000000000}$$

Multiply \frac{12500000000000000}{2129317335357619} times \frac{1868408948642059}{2000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12500000000000000\times 1868408948642059}{2129317335357619\times 2000000000000000}$$

Do the multiplications in the fraction \frac{12500000000000000\times 1868408948642059}{2129317335357619\times 2000000000000000}.

$$x=\frac{23355111858025737500000000000000}{4258634670715238000000000000000}$$

Reduce the fraction \frac{23355111858025737500000000000000}{4258634670715238000000000000000} to lowest terms by extracting and canceling out 500000000000000.

$$x=\frac{46710223716051475}{8517269341430476}$$