Solve cos37^circ=x/L

$$\cos 37 ^ { \circ } = \frac { x } { L }$$

Solve for L

$$L=\frac{312500000000000x}{249573596889779}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.7986355100472928 = \frac{x}{L}$$

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

$$0.7986355100472928L=x$$

Divide both sides of the equation by 0.7986355100472928, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.7986355100472928L}{0.7986355100472928}=\frac{x}{0.7986355100472928}$$

Dividing by 0.7986355100472928 undoes the multiplication by 0.7986355100472928.

$$L=\frac{x}{0.7986355100472928}$$

Divide x by 0.7986355100472928 by multiplying x by the reciprocal of 0.7986355100472928.

$$L=\frac{312500000000000x}{249573596889779}$$

Variable L cannot be equal to 0.

$$L=\frac{312500000000000x}{249573596889779}\text{, }L\neq 0$$

Solve for x

$$x=\frac{249573596889779L}{312500000000000}$$

$$L\neq 0$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.7986355100472928 = \frac{x}{L}$$

Multiply both sides of the equation by L.

$$0.7986355100472928L=x$$

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

$$x=0.7986355100472928L$$