Solve cot50^circ=2x/15

$$\cot 50 ^ { \circ } = \frac { 2 x } { 15 }$$

Solve for x

$$x=6.2932472338296$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.83909963117728 = \frac{2 x}{15}$$

Multiply both sides by 15.

$$0.83909963117728\times 15=2x$$

Multiply 0.83909963117728 and 15 to get 12.5864944676592.

$$12.5864944676592=2x$$

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

$$2x=12.5864944676592$$

Divide both sides by 2.

$$x=\frac{12.5864944676592}{2}$$

Expand \frac{12.5864944676592}{2} by multiplying both numerator and the denominator by 10000000000000.

$$x=\frac{125864944676592}{20000000000000}$$

Reduce the fraction \frac{125864944676592}{20000000000000} to lowest terms by extracting and canceling out 16.

$$x=\frac{7866559042287}{1250000000000}$$