Solve tan49=33/x

$$\tan 49 = \frac { 33 } { x }$$

Solve for x

$$x = \frac{165000000000000000}{5751842036105047} = 28\frac{3948422989058684}{5751842036105047} \approx 28.686462348$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$1.1503684072210094 = \frac{33}{x}$$

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

$$1.1503684072210094x=33$$

Divide both sides by 1.1503684072210094.

$$x=\frac{33}{1.1503684072210094}$$

Expand \frac{33}{1.1503684072210094} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{330000000000000000}{11503684072210094}$$

Reduce the fraction \frac{330000000000000000}{11503684072210094} to lowest terms by extracting and canceling out 2.

$$x=\frac{165000000000000000}{5751842036105047}$$