Solve sin14^circ=39/a

$$\sin 14 ^ { \circ } = \frac { 39 } { a }$$

Solve for a

$$a = \frac{1300000000000000000}{8064063186655591} = 161\frac{1685826948449849}{8064063186655591} \approx 161.209054283$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

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

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

$$0.24192189559966773a=39$$

Divide both sides by 0.24192189559966773.

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

Expand \frac{39}{0.24192189559966773} by multiplying both numerator and the denominator by 100000000000000000.

$$a=\frac{3900000000000000000}{24192189559966773}$$

Reduce the fraction \frac{3900000000000000000}{24192189559966773} to lowest terms by extracting and canceling out 3.

$$a=\frac{1300000000000000000}{8064063186655591}$$