Solve sin31/39=a/56

$$\frac { \sin 31 } { 39 } = \frac { a } { 56 }$$

Solve for a

$$a=\frac{6008777540617299}{8125000000000000}\approx 0.739541851$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{0.5150380749100542}{39} = \frac{a}{56}$$

Multiply both sides of the equation by 2184, the least common multiple of 39,56.

$$56\times 0.5150380749100542=39a$$

Multiply 56 and 0.5150380749100542 to get 28.8421321949630352.

$$28.8421321949630352=39a$$

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

$$39a=28.8421321949630352$$

Divide both sides by 39.

$$a=\frac{28.8421321949630352}{39}$$

Expand \frac{28.8421321949630352}{39} by multiplying both numerator and the denominator by 10000000000000000.

$$a=\frac{288421321949630352}{390000000000000000}$$

Reduce the fraction \frac{288421321949630352}{390000000000000000} to lowest terms by extracting and canceling out 48.

$$a=\frac{6008777540617299}{8125000000000000}$$