Solve tan75^circ=20/x

$$\tan 75 ^ { \circ } = \frac { 20 } { x }$$

Solve for x

$$x = \frac{25000000000000000}{4665063509461097} = 5\frac{1674682452694515}{4665063509461097} \approx 5.358983849$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$3.7320508075688776 = \frac{20}{x}$$

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

$$3.7320508075688776x=20$$

Divide both sides by 3.7320508075688776.

$$x=\frac{20}{3.7320508075688776}$$

Expand \frac{20}{3.7320508075688776} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{200000000000000000}{37320508075688776}$$

Reduce the fraction \frac{200000000000000000}{37320508075688776} to lowest terms by extracting and canceling out 8.

$$x=\frac{25000000000000000}{4665063509461097}$$