A laboratory designed a radio telescope that had a diameter of 360 ft and maximum depth of 42 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
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6.1.51
A laboratory designed a radio telescope that had a diameter of 360 ft
and maximum depth of 42 ft.
(a)Write an equation of a parabola that models the cross section of
the dish if the vertex is placed at the origin and the parabola opens
up.
(b)The receiver must be placed at the focus of the parabola. How far
from the vertex should the receiver be located?
(a) The equation of the parabola is
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Transcribed Image Text:6.1.51 A laboratory designed a radio telescope that had a diameter of 360 ft and maximum depth of 42 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is (Simplify your answer. Use integers or fractions for any numbers in the equation.)
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