The astronaut in the previous situation is now moving at 10 \mathrm{~m} / \mathrm{s} (as measured in a certain frame of reference). She wishes to fire the launcher so that her velocity turns through as large an angle as possible (in this frame of reference). What is this maximum angle? (Hint: a diagram may be useful.)
Answer Choices
A. 24.4^{\circ}
B. 26.6^{\circ}
C. 27.0^{\circ}
D. 30.0^{\circ}
E. 180.0^{\circ}