An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a camera mounted on the ground. Let 0 be the angle of clevation above the ground at which the camera is pointed. When 0 = 1/3, how fast docs the camera have to rotate in order to keep the plane in view?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a cameramounted on the ground. Let θ be the angle of elevation above the ground at which the camerais pointed. When θ=π~3, how fast does the camera have to rotate in order to keep the planein view?

6. An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a camera
mounted on the ground. Let 0 be the angle of elevation above the ground at which the camera
is pointed. When 0 = 1/3, how fast does the camera have to rotate in order to keep the plane
in view?
Transcribed Image Text:6. An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a camera mounted on the ground. Let 0 be the angle of elevation above the ground at which the camera is pointed. When 0 = 1/3, how fast does the camera have to rotate in order to keep the plane in view?
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