How does one solve the following system of equation for Θ. Only unknown variables are Θ and t.

This is the equation of motion when gravity is two dimensional. WolfarmAlpha succeeded to solve but I fail to understand the solution. 

$d\_0$ is $d\_x$ and $d\_1$ is $d\_y$,

$g\_0$ is $g\_x$ and $g\_1$ is $g\_y$

*(WolframAlpha only allows single letter variable names)*

[![wolfram alpha solver](https://i.stack.imgur.com/Kgqlf.png)](https://i.stack.imgur.com/Kgqlf.png)