Answer
$\approx 67.1^{o}\quad(67^{o}6^{\prime})$
Work Step by Step
Draw a sketch (see below)
SOHCATOA:
$\displaystyle \sin\theta=\frac{71.3}{77.4}$
$\displaystyle \theta=\sin^{-1}(\frac{71.3}{77.4})\approx 67.1004748523^{o}$
$\approx 67.1^{o}\approx 67^{o}6^{\prime}$
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