Solve tan31^circ=360/x

$$\tan 31 ^ { \circ } = \frac { 360 } { x }$$

Solve for x

$$x = \frac{300000000000000000}{500717182522967} = 599\frac{70407668742767}{500717182522967} \approx 599.140613646$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.6008606190275604 = \frac{360}{x}$$

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

$$0.6008606190275604x=360$$

Divide both sides by 0.6008606190275604.

$$x=\frac{360}{0.6008606190275604}$$

Expand \frac{360}{0.6008606190275604} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{3600000000000000000}{6008606190275604}$$

Reduce the fraction \frac{3600000000000000000}{6008606190275604} to lowest terms by extracting and canceling out 12.

$$x=\frac{300000000000000000}{500717182522967}$$