Answer
$A \approx 10^o$
Work Step by Step
RECALL:
In a right triangle,
$\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}}
\\\cos{A} = \dfrac{\text{length of adjacent side}}{\text{length of hypotenuse}}
\\\tan{A} = \dfrac{\text{length of opposite side}}{\text{length of adjacent side}}$
Use the sine formula to obtain:
$\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}}
\\\sin{A}=\dfrac{11}{65}$
Use the inverse sine function of a scientific calculator to obtain:
$A = \sin^{-1}{\frac{11}{65}}
\\A = 9.743097377^o
\\A \approx 10^o$