Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s opening as the vertex. Suppose this opening is 15 ft. high and that the water strikes the ground a horizontal distance of 7 ft. from where the opening is located. At what height is the horizontal distance of the water 1 ft. from the opening?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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  1. Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s opening as the vertex. Suppose this opening is 15 ft. high and that the water strikes the ground a horizontal distance of 7 ft. from where the opening is located. At what height is the horizontal distance of the water 1 ft. from the opening?
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