Answer
Please see the work below.
Work Step by Step
We know that
$a=gsin(\theta)=9.8sin(24)=3.986\frac{m}{s^2}$
$d=(\frac{1}{2})at^2$
This simplifies to:
$t=\sqrt{\frac{2d}{a}}=\sqrt{\frac{(2)(1300)}{3.986}}=26s$
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