Answer
$A=53.44^{\circ}$.
Work Step by Step
The given values are
One leg $a=245\;ft$.
Hypotenuse $c=305\;ft$.
By using trigonometric ratios.
$\sin{A}=\frac{245\;ft}{305\;ft}$
Isolate $A$.
${A}=sin^{-1}\left (\frac{245\;ft}{305\;ft} \right )$
Simplify. (Use degree in the calculator)
$A=53.44^{\circ}$. (rounded value)