Anyone good at re-arranging equations?

Soldato
Joined
23 May 2005
Posts
2,964
Location
Auckland, New Zealand
Hi all, I'm a bit stuck on this one. It's been a while since I've done anything as complex as this.

Basically I'm trying to figure out the angle required for a projectile fired from an elevation to hit a known target.

I've found the equation below:

8JvCz5L.png


(from wikipedia)

but this gives the range if you know all other variables. I need to re-arrange this for theta.

If anyone could help me out I would be much obliged!

(and no, this is not homework!)
 
The result looks like the solution to a quadratic expression. With this in mind I tried to rearrange to get a quadratic for about 5 minutes trying to remember old trig identities but failed miserably. My pure maths days are long behind me. Thank god for MathCAD!
 
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