A ship sails 10 miles in a straight line from A to B, turns through an angle between 45^{\circ} and 60^{\circ}, and then sails another 20 miles to C. Let A C be measured in miles. Which of the following intervals contains A C^{2} ?
Answer Choices
A. [400,500]
B. [500,600]
C. [600,700]
D. [700,800]
E. [800,900]