The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)
A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape.
Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles

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