Answer
$\color{blue}{\approx 0.8 \text{ radians}
\\\approx 2.4 \text{ radians}}$
Work Step by Step
To approximate the angle whose sine value is $0.7$, look up in the given figure the angle/s whose terminal side crosses the unit circle along the line $y=0.7$.
Notice that the angles $0.8$ radians and $2.4$ radians cross the unit circle along the line $y=0.7$.
Thus, the angles are approximately:
$\color{blue}{0.8 \text{ radians}
\\2.4 \text{ radians}}$