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A circus artist is climbing a rope of length $20\mathrm{m}$ tied from the top of a vertical pole to the ground. If the rope makes an angle of $30^{\circ}$ with the ground, what is the height of the pole? 
A$10\mathrm{m}$
B$10\sqrt{3}\mathrm{m}$
C$20\sin 30^{\circ}\mathrm{m}$
DBoth A and C
Answer & Solution
Correct answer: D. Both A and C
The rope is the hypotenuse of a right triangle and the pole is opposite the $30^{\circ}$ angle. So height $=20\sin 30^{\circ}=20\times \frac{1}{2}=10\mathrm{m}$. Thus both option A and option C state the same correct value, so the correct choice is D.
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