Answer
$23^{\circ}$
Work Step by Step
Using Pythagorean Theorem to find the length of hypotenuse.
$\sqrt{5^{2}+12^{2}}=13$
$\sin\alpha=\frac{5}{13}$
$\alpha=\sin^{-1}\frac{5}{13}$
$\alpha\approx23^{\circ}$
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