Solve sin(88.5)/5=sin(51)/x

$$\frac { \sin ( 88.5 ) } { 5 } = \frac { \sin ( 51 ) } { x }$$

Solve for x

$$x = \frac{637004886440140}{163878249995993} = 3\frac{145370136452161}{163878249995993} \approx 3.887061806$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{0.9996573249755573}{5} = \frac{0.7771459614569708}{x}$$

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.

$$x\times 0.9996573249755573=5\times 0.7771459614569708$$

Multiply 5 and 0.7771459614569708 to get 3.885729807284854.

$$x\times 0.9996573249755573=3.885729807284854$$

Divide both sides by 0.9996573249755573.

$$x=\frac{3.885729807284854}{0.9996573249755573}$$

Expand \frac{3.885729807284854}{0.9996573249755573} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{38857298072848540}{9996573249755573}$$

Reduce the fraction \frac{38857298072848540}{9996573249755573} to lowest terms by extracting and canceling out 61.

$$x=\frac{637004886440140}{163878249995993}$$