A boat is heading towards a lighthouse, where Jack is watching from a vertical distance of 108 feet above the water. Jack measures an angle of depression to the boat at point A
A to be 9
∘
∘
. At some later time, Jack takes another measurement and finds the angle of depression to the boat (now at point
B
B) to be 66
∘
∘
. Find the distance from point
A
A to point
B
B. Round your answer to the nearest tenth of a foot if necessary.