Solve cos(27^circ)=8/x

$$\cos ( 27 ^ { \circ } ) = \frac { 8 } { x }$$

Solve for x

$$x = \frac{80000000000000000}{8910065241883679} = 8\frac{8719478064930568}{8910065241883679} \approx 8.978609901$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.8910065241883679 = \frac{8}{x}$$

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

$$0.8910065241883679x=8$$

Divide both sides by 0.8910065241883679.

$$x=\frac{8}{0.8910065241883679}$$

Expand \frac{8}{0.8910065241883679} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{80000000000000000}{8910065241883679}$$