Solve cos(70^circ)=3/x

$$\cos ( 70 ^ { \circ } ) = \frac { 3 } { x }$$

Solve for x

$$x = \frac{625000000000000}{71254196526181} = 8\frac{54966427790552}{71254196526181} \approx 8.7714132$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.3420201433256688 = \frac{3}{x}$$

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

$$0.3420201433256688x=3$$

Divide both sides by 0.3420201433256688.

$$x=\frac{3}{0.3420201433256688}$$

Expand \frac{3}{0.3420201433256688} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{30000000000000000}{3420201433256688}$$

Reduce the fraction \frac{30000000000000000}{3420201433256688} to lowest terms by extracting and canceling out 48.

$$x=\frac{625000000000000}{71254196526181}$$