Solve cos25^circ=15/x

$$\cos 25 ^ { \circ } = \frac { 15 } { x }$$

Solve for x

$$x = \frac{50000000000000000}{3021025956788833} = 16\frac{1663584691378672}{3021025956788833} \approx 16.550668784$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.9063077870366499 = \frac{15}{x}$$

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

$$0.9063077870366499x=15$$

Divide both sides by 0.9063077870366499.

$$x=\frac{15}{0.9063077870366499}$$

Expand \frac{15}{0.9063077870366499} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{150000000000000000}{9063077870366499}$$

Reduce the fraction \frac{150000000000000000}{9063077870366499} to lowest terms by extracting and canceling out 3.

$$x=\frac{50000000000000000}{3021025956788833}$$