Solve sin14^circ=39/AD

$$\sin 14 ^ { \circ } = \frac { 39 } { A D }$$

Solve for A

$$A=\frac{1300000000000000000}{8064063186655591D}$$

$$D\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.24192189559966773 = \frac{39}{A D}$$

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

$$0.24192189559966773AD=39$$

Divide both sides by 0.24192189559966773.

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

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

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

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

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

The equation is in standard form.

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

Divide both sides by D.

$$\frac{DA}{D}=\frac{\frac{1300000000000000000}{8064063186655591}}{D}$$

Dividing by D undoes the multiplication by D.

$$A=\frac{\frac{1300000000000000000}{8064063186655591}}{D}$$

Divide \frac{1300000000000000000}{8064063186655591} by D.

$$A=\frac{1300000000000000000}{8064063186655591D}$$

Variable A cannot be equal to 0.

$$A=\frac{1300000000000000000}{8064063186655591D}\text{, }A\neq 0$$

Solve for D

$$D=\frac{1300000000000000000}{8064063186655591A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.24192189559966773 = \frac{39}{A D}$$

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

$$0.24192189559966773AD=39$$

Divide both sides by 0.24192189559966773.

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

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

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

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

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

Divide both sides by A.

$$\frac{AD}{A}=\frac{\frac{1300000000000000000}{8064063186655591}}{A}$$

Dividing by A undoes the multiplication by A.

$$D=\frac{\frac{1300000000000000000}{8064063186655591}}{A}$$

Divide \frac{1300000000000000000}{8064063186655591} by A.

$$D=\frac{1300000000000000000}{8064063186655591A}$$

Variable D cannot be equal to 0.

$$D=\frac{1300000000000000000}{8064063186655591A}\text{, }D\neq 0$$