Section 6.2Chapter 69. A parabolic satellite dish is to be built 42 meters wide and 54 meters deep.phta)Find the length of a support that is 12 meters away from the vertex, accurate to thehundredth place.b) Find the height of the focus above the vertex, accurate to the hundredth place. Recall that1above the bottom of the dish.4athe focus point is located a distance42 mOUNG TOTX12 m54 m

Question
Asked Nov 3, 2019
Section 6.2
Chapter 6
9. A parabolic satellite dish is to be built 42 meters wide and 54 meters deep.
pht
a)
Find the length of a support that is 12 meters away from the vertex, accurate to the
hundredth place.
b) Find the height of the focus above the vertex, accurate to the hundredth place. Recall that
1
above the bottom of the dish.
4a
the focus point is located a distance
42 m
OUNG TO
T
X
12 m
54 m
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Section 6.2 Chapter 6 9. A parabolic satellite dish is to be built 42 meters wide and 54 meters deep. pht a) Find the length of a support that is 12 meters away from the vertex, accurate to the hundredth place. b) Find the height of the focus above the vertex, accurate to the hundredth place. Recall that 1 above the bottom of the dish. 4a the focus point is located a distance 42 m OUNG TO T X 12 m 54 m

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check_circleExpert Solution
Step 1
Redraw the given graph with given information as below.
42 m
У
(-21,54)
|(21,54)
54 m
(12, y)
12 m
х
(0,0)
Figure 1
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Redraw the given graph with given information as below. 42 m У (-21,54) |(21,54) 54 m (12, y) 12 m х (0,0) Figure 1

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Step 2
(a)
Let the general form of the parabola be x = 4ay that represents satellite disk.
From the Figure 1, the point (21,54) lies on the parabola
Hence the value of 4a is obtained by substituting 21 for x and 54 for y in the parabola
equation
(21) 4a(54)
21x21 49
4a
54
6
49
y
6
The equation of the parabola becomes x
Find the length of a support that is 12 m away from vertex by substituting 12 for x in the
equation
49
(12)'=
y
6
6
y144
49
y 17.6326 17.63
(Rounded to hundredth place)
help_outline

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(a) Let the general form of the parabola be x = 4ay that represents satellite disk. From the Figure 1, the point (21,54) lies on the parabola Hence the value of 4a is obtained by substituting 21 for x and 54 for y in the parabola equation (21) 4a(54) 21x21 49 4a 54 6 49 y 6 The equation of the parabola becomes x Find the length of a support that is 12 m away from vertex by substituting 12 for x in the equation 49 (12)'= y 6 6 y144 49 y 17.6326 17.63 (Rounded to hundredth place)

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