Racetrack Design Consult the figure. A racetrack is in the shape of an ellipse, 250 feet long and 80 feet wide. What isthe width 10 feet from a vertex?10 ft80 ft-250 ft-feet (Round to one decimal place.)

The race track is in shape of n ellipse whose length of major axis is 250 feet and length of minor…

Answered: Racetrack Design Consult the figure. A…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.2: Applied Problems

Problem 28E

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Similar questions

Searchlight reflectors A parabolic mirror reflect light in a beam when the light source is placed at its focus. In the illustration, how far from the vertex of the parabolic reflector should the light source be placed? All the measurements are in the feet
Architecture A semi elliptical archway is formed over the entrance to an estate. The arch is set on pillars that are 10 feet apart and has a height (atop the pillars) of 4 feet (see figure). Describe the location of the foci.
Sunburst Window A “sunburst” window above a doorway is constructed in the shape of the top half of an ellipse, as shown in the figure. The window is 20 in. tall at its highest point and 80 in. wide at the bottom. Find the height of the window 25 in. from the center of the base.
Reflecting Telescope The Hale telescope at the Mount Palomar Observatory has a 200-in. mirror, as shown in the figure. The mirror is constructed in a parabolic shape that collects light from the stars and focuses it at the prime focus, that is, the focus of the parabola. The mirror is 3.79 in. deep at its center. Find the focal length of this parabolic mirror, that is, the distance from the vertex to the focus.
Discovery and Writing If F is a focus of the ellipse shown and P is any point on the ellipse, use the distance formula to show that the length of FB is acax . Hint: In an ellipse, c2=a2b2 .
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DISCUSS: Is It an Ellipse? A piece of paper is wrapped around a cylindrical bottle, and then a compass is used to draw a circle on the paper, as shown in the figure. When the paper is laid flat, is the shape drawn on the paper an ellipse? (You don’t need to prove your answer, but you might want to do the experiment and see what you get.)

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Racetrack Design Consult the figure. A racetrack is in the shape of an ellipse, 250 feet long and 80 feet wide. What is the width 10 feet from a vertex? 10 ft 80 ft -250 ft- feet (Round to one decimal place.)