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A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°.
a) Find the distance of the plane from one of the mileposts.
b) Find the elevation of the plane.
(hint the angle of depression is between the flight line of the plane and the milepost)
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
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