Solve sin26/a=sin14/39

$$\frac { \sin 26 } { a } = \frac { \sin 14 } { 39 }$$

Solve for a

$$a = \frac{569882490825800620}{8064063186655591} = 70\frac{5398067759909270}{8064063186655591} \approx 70.669397999$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{0.4383711467890774}{a} = \frac{0.24192189559966773}{39}$$

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 39a, the least common multiple of a,39.

$$39\times 0.4383711467890774=a\times 0.24192189559966773$$

Multiply 39 and 0.4383711467890774 to get 17.0964747247740186.

$$17.0964747247740186=a\times 0.24192189559966773$$

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

$$a\times 0.24192189559966773=17.0964747247740186$$

Divide both sides by 0.24192189559966773.

$$a=\frac{17.0964747247740186}{0.24192189559966773}$$

Expand \frac{17.0964747247740186}{0.24192189559966773} by multiplying both numerator and the denominator by 100000000000000000.

$$a=\frac{1709647472477401860}{24192189559966773}$$

Reduce the fraction \frac{1709647472477401860}{24192189559966773} to lowest terms by extracting and canceling out 3.

$$a=\frac{569882490825800620}{8064063186655591}$$