4. In the classic novel Don Quixote, the character famously battles a windmill. Suppose the center of the windmill is 20 feet off the ground, and the sails are 15 feet long. Don Quixote is at the tip of one of the sails. The sails are turning at the rate of one counterclockwise rotation every 60 seconds. After 1 minute and 40 seconds, Don Quixote fell off the sail and straight down to the ground. How far did he fall? ***Hint: Don Quixote starts riding the sail of from the bottom of the windmill. Compute for the distance of the tip of the sail where he dropped off to the ground using circular functions and consider the height of the windmill.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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4. In the classic novel Don Quixote, the character famously battles a windmill. Suppose the center of the windmill is 20 feet off the ground, and the sails are 15 feet long. Don Quixote is at the tip of one of the sails. The sails are turning at the rate of one counterclockwise rotation every 60 seconds. After 1 minute and 40 seconds, Don Quixote fell off the sail and straight down to the ground. How far did he fall? ***Hint: Don Quixote starts riding the sail of from the bottom of the windmill. Compute for the distance of the tip of the sail where he dropped off to the ground using circular functions and consider the height of the windmill.

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