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.
Example: 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)\(20\sqrt{3}\)
Example solution: B
Example explanation: the ladder makes a right triangle with the wall so the length wanted is sin(30)*20=10

Problem: Points J, K, and L lie on a circle whose center is point O. If \(\overline {JK}\) passes through O, which of the following is true about triangle LOK?
(A)All three angles are less then 90 degrees. (B)One angle measures exactly 90 degrees. (C)At least one angle is greater than 90 degrees. (D)At least two of the angles have the same measure. (E)\(\overline {KO} = \overline{KL}\)

Solution: D