The graph shows the parabolic path of a grappling hook thrown from the roof of one building to another building, where y is the height (in feet) and x is the horizontal distance traveled (in feet). (a) Write an equation of the parabola. (b) The hook lands on the roof of the second building 60 feet from the first building. What is the height of the second building to the nearest foot? 70 60- (40, 50) 50 40 30 Height (feet)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 50E: The graphs of the parabolas eith equations y=x2 and the line y=18-x2 intersect at two points. Find...
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16. The graph shows the parabolic path of a grappling hook thrown from the roof of one building to another
building, where y is the height (in feet) and x is the horizontal distance traveled (in feet).
(a) Write an equation of the parabola.
(b) The hook lands on the roof of the second building 60 feet from the first building. What is the height of the
second building to the nearest foot?
70
60
(40, 50)
50
40+
30
20(0, 25)
10-
20
40
60
80
100
120
Horizontal distance (feet)
Height (feet)
Transcribed Image Text:16. The graph shows the parabolic path of a grappling hook thrown from the roof of one building to another building, where y is the height (in feet) and x is the horizontal distance traveled (in feet). (a) Write an equation of the parabola. (b) The hook lands on the roof of the second building 60 feet from the first building. What is the height of the second building to the nearest foot? 70 60 (40, 50) 50 40+ 30 20(0, 25) 10- 20 40 60 80 100 120 Horizontal distance (feet) Height (feet)
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