Solve tan38^circ=5.78/x

$$\tan 38 ^ { \circ } = \frac { 5.78 } { x }$$

Solve for x

$$x = \frac{3400000000000000}{459579780298069} = 7\frac{182941537913517}{459579780298069} \approx 7.398062634$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.7812856265067173 = \frac{5.78}{x}$$

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

$$0.7812856265067173x=5.78$$

Divide both sides by 0.7812856265067173.

$$x=\frac{5.78}{0.7812856265067173}$$

Expand \frac{5.78}{0.7812856265067173} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{57800000000000000}{7812856265067173}$$

Reduce the fraction \frac{57800000000000000}{7812856265067173} to lowest terms by extracting and canceling out 17.

$$x=\frac{3400000000000000}{459579780298069}$$