How would I rearrange this equation?

Question

I need to make "r" the subject of this equation, but whatever I try I get a ridiculously small number. If anybody could walk me through exactly how to rearrange it, describing why they do each step I would be hugely grateful

$\frac{(sin(\theta))}{(cos(\theta))} = \frac{(220^2)}{g*r}$

Answer 1

You might like to simplify things a little by rewriting the right-hand side as $\tan\theta$. Multiplying both sides by $r/\tan\theta$ then gives $r=48400/(g\tan\theta)$.

Answer 2

You can write $$r = \frac{(220^2\cos(\theta))}{g \sin(\theta)}$$ if $\theta \neq 0 \quad [\pi]$.

Answer 3

we have $$\tan(\theta)=\frac{220^2}{gr}$$ and by cross muultiplication we obtain $$\frac{1}{\tan(\theta)}=\frac{gr}{220^2}$$ and finally we get $$\frac{220^2}{\tan(\theta)\cdot g}=r$$