MathDB

Triangle

OAB

has O \equal{} (0,0), B \equal{} (5,0), and

A

in the first quadrant. In addition, \angle{ABO} \equal{} 90^\circ and \angle{AOB} \equal{} 30^\circ. Suppose that

\overline{OA}

is rotated

90^\circ

counterclockwise about

O

. What are the coordinates of the image of

A

? (A)\ \left( \minus{} \frac {10}{3}\sqrt {3},5\right) \qquad (B)\ \left( \minus{} \frac {5}{3}\sqrt {3},5\right) \qquad (C)\ \left(\sqrt {3},5\right) \qquad (D)\ \left(\frac {5}{3}\sqrt {3},5\right) \\ (E)\ \left(\frac {10}{3}\sqrt {3},5\right)

Problem Statement