Solve sin(885)/5=sin(51)/x

$$\frac { \sin ( 885 ) } { 5 } = \frac { \sin ( 51 ) } { x }$$

Solve for x

$$x = \frac{637004886440140}{42429351656151} = 15\frac{564611597875}{42429351656151} \approx 15.013307099$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{0.2588190451025211}{5} = \frac{0.7771459614569708}{x}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of 5,x.

$$x\times 0.2588190451025211=5\times 0.7771459614569708$$

Multiply 5 and 0.7771459614569708 to get 3.885729807284854.

$$x\times 0.2588190451025211=3.885729807284854$$

Divide both sides by 0.2588190451025211.

$$x=\frac{3.885729807284854}{0.2588190451025211}$$

Expand \frac{3.885729807284854}{0.2588190451025211} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{38857298072848540}{2588190451025211}$$

Reduce the fraction \frac{38857298072848540}{2588190451025211} to lowest terms by extracting and canceling out 61.

$$x=\frac{637004886440140}{42429351656151}$$