Solve tan25^circ=130/x

$$\tan 25 ^ { \circ } = \frac { 130 } { x }$$

Solve for x

$$x = \frac{650000000000000000}{2331538290774993} = 278\frac{1832355164551946}{2331538290774993} \approx 278.785899666$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.4663076581549986 = \frac{130}{x}$$

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

$$0.4663076581549986x=130$$

Divide both sides by 0.4663076581549986.

$$x=\frac{130}{0.4663076581549986}$$

Expand \frac{130}{0.4663076581549986} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{1300000000000000000}{4663076581549986}$$

Reduce the fraction \frac{1300000000000000000}{4663076581549986} to lowest terms by extracting and canceling out 2.

$$x=\frac{650000000000000000}{2331538290774993}$$