Solve cos(39^circ)=45/x

$$\cos ( 39 ^ { \circ } ) = \frac{ 45 }{ x }$$

Solve for x

$$x = \frac{150000000000000000}{2590486538189903} = 57\frac{2342267323175529}{2590486538189903} \approx 57.904180465$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.7771459614569709 = \frac{45}{x}$$

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

$$0.7771459614569709x=45$$

Divide both sides by 0.7771459614569709.

$$x=\frac{45}{0.7771459614569709}$$

Expand \frac{45}{0.7771459614569709} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{450000000000000000}{7771459614569709}$$

Reduce the fraction \frac{450000000000000000}{7771459614569709} to lowest terms by extracting and canceling out 3.

$$x=\frac{150000000000000000}{2590486538189903}$$