A television camera is positioned 8 km from a helicopter landing pad. The helicopter is rising vertically with a speed of 2 km/h. If the television camera is always kept aimed directly at the helicopter, how fast should the camera’s angle of elevation be changing when the helicopter is at 3 km altitude? (The angle of elevation is the angle between the ground and the camera’s line of sight.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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A television camera is positioned 8 km from a helicopter landing pad. The helicopter is rising vertically with a speed of 2 km/h. If the television camera is always kept aimed directly at the helicopter, how fast should the camera’s angle of elevation be changing when the helicopter is at 3 km altitude? (The angle of elevation is the angle between the ground and the camera’s line of sight.)

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