The height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
What is the height?
The height is a vertical distance between two points. It is given that A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h² where h and d are measured in feet.
The height will be calculated by forming the two equations from the given data in the question.
25 = 625 + h²
100 = 4 ( 625 + h² )
100 = ( 2500 + 4h² )
By solving both the equations:
100 - 25 = 2500 - 625 + 4h² - h²
3h² = 1800
h = √600
h = 24.49 feet
Therefore the height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
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