
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the rectangular coordinate system, the parametric equations of the curve $C$ are given by $ \begin{cases} x= \sqrt {5}\cos \phi \\ y= \sqrt {15}\sin \phi \end{cases} (\phi \text{ is the parameter})$, and the parametric equations of the line $l$ are given by $ \begin{cases} x= -\frac {1}{2}t \\ y= \sqrt {3}+ \frac {\sqrt {3}}{2}t \end{cases} (t \text{ is the parameter})$. Establish a polar coordinate system with the origin as the pole and the positive half of the $x$-axis as the polar axis. The polar coordinates of point $P$ are $(\sqrt {3}, \frac {\pi}{2})$.
(I) Find the rectangular coordinates of point $P$, and find the general equation of curve $C$;
(II) Let points $A$ and $B$ be the intersection points of line $l$ and curve $C$. Find the value of $|PA|+|PB|$.

Present the answer in LaTex format: \boxed{Your answer}
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