26. An airplane or aeroplane (informally plane) is a powered, fixed-wing aircraft that is propelled
forward by thrust from a jet engine, propeller or rocket engine. Airplanes come in a variety of
sizes, shapes, and wing configurations. The essential components of an airplane are a wing
system to sustain it in flight, tail surfaces to stabilize the wings, movable surfaces to control the
attitude of the plane in flight, and a power plant to provide the thrust necessary to push the
vehicle through the air. Provision must be made to support the plane when it is at rest on the
ground and during takeoff and landing. Most planes feature an enclosed body (fuselage) to
house the crew, passengers, and cargo; the cockpit is the area from which the pilot operates the
controls and instruments to fly the plane. A passenger is travelling in an airplane. An airplane is
flying at a height of 3000 m above the level ground. He observes that the angle of depression
from the plane to the foot of a tree is a, such that cos3a = sin(135° - 4a). Find the distance that
the airplane must fly to be directly above the tree.
3000 m
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