Solve t^2quadtan33^circ=125/xquadrightarrow

$$t ^ { 2 } \quad \tan 33 ^ { \circ } = \frac { 125 } { x } \quad \rightarrow$$

Solve for x

$$x=\frac{625000000000000000}{3247037965987553t^{2}}$$

$$t\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$t ^ {2} 0.6494075931975106 = \frac{125}{x}$$

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

$$t^{2}\times 0.6494075931975106x=125$$

The equation is in standard form.

$$\frac{3247037965987553t^{2}}{5000000000000000}x=125$$

Divide both sides by 0.6494075931975106t^{2}.

$$\frac{5000000000000000\times \frac{3247037965987553t^{2}}{5000000000000000}x}{3247037965987553t^{2}}=\frac{125\times 5000000000000000}{3247037965987553t^{2}}$$

Dividing by 0.6494075931975106t^{2} undoes the multiplication by 0.6494075931975106t^{2}.

$$x=\frac{125\times 5000000000000000}{3247037965987553t^{2}}$$

Divide 125 by 0.6494075931975106t^{2}.

$$x=\frac{625000000000000000}{3247037965987553t^{2}}$$

Variable x cannot be equal to 0.

$$x=\frac{625000000000000000}{3247037965987553t^{2}}\text{, }x\neq 0$$

Solve for t

$$t=\frac{250000000\sqrt{\frac{32470379659875530}{x}}}{3247037965987553}$$

$$t=-\frac{250000000\sqrt{\frac{32470379659875530}{x}}}{3247037965987553}\text{, }x>0$$