Commercial aircraft usually fly at an altitude between 9 and 11 kilometers (about 29,000 to 36,000 feet). When an aircraft is landing, its gradual descent to an airport runway occurs over a long distance. Assume the path of descent is a line. a. Suppose a commercial airliner begins its descent from an altitude of 9.4 km with an angle of descent of $2.5 ^ { \circ }$. At what distance from the runway should the descent begin? b. Suppose a commercial airliner flying at an altitude of 11 km begins its descent at a horizontal distance 270 km from the end of the runway. What is its angle of descent? c. The cockpit cutoff angle of an airliner is the angle formed by the pilot’s horizontal line of sight and her line of sight to the nose of the plane. Suppose a pilot is flying an aircraft with a cockpit cutoff angle of $14 ^ { \circ }$ at an altitude of 1.5 km. In her line of sight along the nose of the plane, she sights the near edge of a lake. i. How far is she from the edge of the lake, measuring along her line of sight? ii. What is the horizontal distance to the near edge of the lake?

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