Solve tanθ=2*10^2/a

$$\tan \theta = \frac { 2 \times 10 ^ { 2 } } { a }$$

Solve for a

$$a=200\cot(\theta )$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(\theta >\frac{\pi n_{1}}{2}\text{ and }\theta <\frac{\pi n_{1}}{2}+\frac{\pi }{2}\right)$$

Steps for Solving Linear Equation

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

$$a\tan(\theta )=2\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$a\tan(\theta )=2\times 100$$

Multiply 2 and 100 to get 200.

$$a\tan(\theta )=200$$

The equation is in standard form.

$$\tan(\theta )a=200$$

Divide both sides by \tan(\theta ).

$$\frac{\tan(\theta )a}{\tan(\theta )}=\frac{200}{\tan(\theta )}$$

Dividing by \tan(\theta ) undoes the multiplication by \tan(\theta ).

$$a=\frac{200}{\tan(\theta )}$$

Divide 200 by \tan(\theta ).

$$a=200\cot(\theta )$$

Variable a cannot be equal to 0.

$$a=200\cot(\theta )\text{, }a\neq 0$$