Solve sin14^circ=3.9/a

$$\sin 14 ^ { \circ } = \frac { 3.9 } { a }$$

Solve for a

$$a = \frac{130000000000000000}{8064063186655591} = 16\frac{974989013510544}{8064063186655591} \approx 16.120905428$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.24192189559966773 = \frac{3.9}{a}$$

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

$$0.24192189559966773a=3.9$$

Divide both sides by 0.24192189559966773.

$$a=\frac{3.9}{0.24192189559966773}$$

Expand \frac{3.9}{0.24192189559966773} by multiplying both numerator and the denominator by 100000000000000000.

$$a=\frac{390000000000000000}{24192189559966773}$$

Reduce the fraction \frac{390000000000000000}{24192189559966773} to lowest terms by extracting and canceling out 3.

$$a=\frac{130000000000000000}{8064063186655591}$$