Solve tan85^circ=x/100m

$$\tan 85 ^ { \circ } = \frac { x } { 100 m }$$

Solve for m

$$m=\frac{2500000000000x}{2857513075690337}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$11.430052302761348 = \frac{x}{100 m}$$

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100m.

$$1143.0052302761348m=x$$

Divide both sides of the equation by 1143.0052302761348, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1143.0052302761348m}{1143.0052302761348}=\frac{x}{1143.0052302761348}$$

Dividing by 1143.0052302761348 undoes the multiplication by 1143.0052302761348.

$$m=\frac{x}{1143.0052302761348}$$

Divide x by 1143.0052302761348 by multiplying x by the reciprocal of 1143.0052302761348.

$$m=\frac{2500000000000x}{2857513075690337}$$

Variable m cannot be equal to 0.

$$m=\frac{2500000000000x}{2857513075690337}\text{, }m\neq 0$$

Solve for x

$$x=\frac{2857513075690337m}{2500000000000}$$

$$m\neq 0$$

Solution Steps

Evaluate trigonometric functions in the problem

$$11.430052302761348 = \frac{x}{100 m}$$

Multiply both sides of the equation by 100m.

$$1143.0052302761348m=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=1143.0052302761348m$$