Answer:
34.8°
Explanation:
You want the angle between a tangent and a segment to the center from a point on the tangent that is 6 units from the circle of radius 8 units.
Sine
The trig relation useful here is ...
Sin = Opposite/Hypotenuse
sin(S) = RQ/SQ
The length QT is the same as QR, so we have ...
sin(S) = 8/(8 +6)
S = arcsin(8/(8+6)) ≈ 34.8°