Solve tan22^circ=37.976/x

$$\tan 22 ^ { \circ } = \frac { 37.976 } { x }$$

Solve for x

$$x = \frac{23735000000000000}{252516391146973} = 93\frac{250975623331511}{252516391146973} \approx 93.993898345$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.4040262258351568 = \frac{37.976}{x}$$

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

$$0.4040262258351568x=37.976$$

Divide both sides by 0.4040262258351568.

$$x=\frac{37.976}{0.4040262258351568}$$

Expand \frac{37.976}{0.4040262258351568} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{379760000000000000}{4040262258351568}$$

Reduce the fraction \frac{379760000000000000}{4040262258351568} to lowest terms by extracting and canceling out 16.

$$x=\frac{23735000000000000}{252516391146973}$$