A ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the ferris wheel, its altitude from the ground level is 31m. How far away from the center, horizontally, is the car when it is at an altitude of 25m?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
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1. A ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the ferris
wheel, its altitude from the ground level is 31m. How far away from the center, horizontally, is the car when it is at an altitude of 25m?

2. A single-lane street 10ft wide goes through a semicircular tunnel with radius 9ft. How high is the tunnel at the edge of each lane?

3. Find the general equation of the parabola with vertex (-5,-7), vertical axis of symmetry and passing through the point P(7,11).

4. A satellite dish shaped like a paraboloid, has a diameter 2.4ft and depth 0.9ft. If the receiver is placed at the focus located directly from the origin, how far should the receiver be from the vertex? (Hint: Just find the value of c using an appropriate equation.)

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