Solve tan(14)=7.1/x)

$$\tan ( 14)= \frac{ 7.1 }{ x } )$$

Solve for x

$$x = \frac{177500000000000000}{6233200071079517} = 28\frac{2970398009773524}{6233200071079517} \approx 28.476544628$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.24932800284318068 = \frac{7.1}{x}$$

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

$$0.24932800284318068x=7.1$$

Divide both sides by 0.24932800284318068.

$$x=\frac{7.1}{0.24932800284318068}$$

Expand \frac{7.1}{0.24932800284318068} by multiplying both numerator and the denominator by 100000000000000000.

$$x=\frac{710000000000000000}{24932800284318068}$$

Reduce the fraction \frac{710000000000000000}{24932800284318068} to lowest terms by extracting and canceling out 4.

$$x=\frac{177500000000000000}{6233200071079517}$$