A unicyclist goes around a circular track of radius 30 \mathrm{~m} at a (amazingly fast!) constant speed of 10 \mathrm{~m} / \mathrm{s}. At what angle to the left (or right) of vertical must the unicyclist lean to avoid falling? Assume that the height of the unicyclist is much smaller than the radius of the track.
Answer Choices
A. 9.46^{\circ}
B. 9.59^{\circ}
C. 18.4^{\circ}
D. 19.5^{\circ}
E. 70.5^{\circ}