air balloon appears as a blip on the air traffic controller’s radar screen. Hot air balloons are prohibited from flying within 25 miles radius of the airport. The polar grid shows the air traffic controller tracking the hot air balloon. (Radius = 10 miles) The grid shows the location of the hot air balloon at time t =0 minutes (when it first appeared on the radar screen) and time t=90 minutes later. Express the two locations of the hot air balloon in polar coordinates. Is the hot air balloon in violation of the airport air space at either of these

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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A hot air balloon appears as a blip on the air traffic controller’s radar screen. Hot air balloons are prohibited from flying within 25 miles radius of the airport. The polar grid shows the air traffic controller tracking the hot air balloon. (Radius = 10 miles) The grid shows the location of the hot air balloon at time t =0 minutes (when it first appeared on the radar screen) and time t=90 minutes later. Express the two locations of the hot air balloon in polar coordinates. Is the hot air balloon in violation of the airport air space at either of these locations? Explain. Determine the rectangular coordinates of the hot air balloon at time t = 90 minutes. State the meaning of this answer in the context of the problem. The hot air balloon crashes 6 miles east and south of the air traffic controller’s tower. Determine the distance the balloon is from the control tower and if it has violated the airport air space.
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