Solve tan3^circ=580/x

$$\tan 3 ^ { \circ } = \frac { 580 } { x }$$

Solve for x

$$x = \frac{145000000000000000000}{13101944820760299} = 11067\frac{776668645759900}{13101944820760300} \approx 11067.059278882$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.052407779283041196 = \frac{580}{x}$$

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

$$0.052407779283041196x=580$$

Divide both sides by 0.052407779283041196.

$$x=\frac{580}{0.052407779283041196}$$

Expand \frac{580}{0.052407779283041196} by multiplying both numerator and the denominator by 1000000000000000000.

$$x=\frac{580000000000000000000}{52407779283041196}$$

Reduce the fraction \frac{580000000000000000000}{52407779283041196} to lowest terms by extracting and canceling out 4.

$$x=\frac{145000000000000000000}{13101944820760299}$$