Solve sin21^circ=55/AB

$$\sin 21 ^ { \circ } = \frac { 55 } { A B }$$

Solve for A

$$A=\frac{5500000000000000000}{35836794954530027B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.35836794954530027 = \frac{55}{A B}$$

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

$$0.35836794954530027AB=55$$

Divide both sides by 0.35836794954530027.

$$AB=\frac{55}{0.35836794954530027}$$

Expand \frac{55}{0.35836794954530027} by multiplying both numerator and the denominator by 100000000000000000.

$$AB=\frac{5500000000000000000}{35836794954530027}$$

The equation is in standard form.

$$BA=\frac{5500000000000000000}{35836794954530027}$$

Divide both sides by B.

$$\frac{BA}{B}=\frac{\frac{5500000000000000000}{35836794954530027}}{B}$$

Dividing by B undoes the multiplication by B.

$$A=\frac{\frac{5500000000000000000}{35836794954530027}}{B}$$

Divide \frac{5500000000000000000}{35836794954530027} by B.

$$A=\frac{5500000000000000000}{35836794954530027B}$$

Variable A cannot be equal to 0.

$$A=\frac{5500000000000000000}{35836794954530027B}\text{, }A\neq 0$$

Solve for B

$$B=\frac{5500000000000000000}{35836794954530027A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.35836794954530027 = \frac{55}{A B}$$

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

$$0.35836794954530027AB=55$$

Divide both sides by 0.35836794954530027.

$$AB=\frac{55}{0.35836794954530027}$$

Expand \frac{55}{0.35836794954530027} by multiplying both numerator and the denominator by 100000000000000000.

$$AB=\frac{5500000000000000000}{35836794954530027}$$

Divide both sides by A.

$$\frac{AB}{A}=\frac{\frac{5500000000000000000}{35836794954530027}}{A}$$

Dividing by A undoes the multiplication by A.

$$B=\frac{\frac{5500000000000000000}{35836794954530027}}{A}$$

Divide \frac{5500000000000000000}{35836794954530027} by A.

$$B=\frac{5500000000000000000}{35836794954530027A}$$

Variable B cannot be equal to 0.

$$B=\frac{5500000000000000000}{35836794954530027A}\text{, }B\neq 0$$