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You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?
(A)5 (B)10 (C)15 (D)\(20\sqrt{2}\) (E)\(20\sqrt{3}\)
Solution: B
Why? the ladder makes a right triangle with the wall so the length wanted is sin(30)*20=10

New input: What is the diameter of a circle whose area is A?
(A)\(2\sqrt { \frac { A } { \pi } } \) (B)\(\sqrt { \frac { A } { \pi } } \) (C)\(\frac { A } { 2\pi } \) (D)\(\frac { A } { \pi } \) (E)\(\frac { 2\sqrt { A } } { \pi } \)
Solution:
A