Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 meters wide and 2.4 meters high. On her bike, the top of Katalin's helmet is 1.8 meters above the ground. If she were to ride through the tunnel 3.9 meters from the center, would her helmet miss the ceiling? If so, by how much? If not what is the height of the tunnel there?
Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 meters wide and 2.4 meters high. On her bike, the top of Katalin's helmet is 1.8 meters above the ground. If she were to ride through the tunnel 3.9 meters from the center, would her helmet miss the ceiling? If so, by how much? If not what is the height of the tunnel there?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 15T: A parabolic reflector for a car headlight forms a bowl shape that is 6 in. wide at its opening and 3...
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Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11
meters wide and 2.4 meters high. On her bike, the top of Katalin's helmet is 1.8 meters above the
ground. If she were to ride through the tunnel 3.9 meters from the center, would her helmet miss the
ceiling? If so, by how much? If not what is the height of the tunnel there?
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