No Plagiarism 20. For your birthday, you plan to hang a piñata in your basement. You decide to attach two hooks on opposite walls, connect the hooks with a taut string, and hang the piñata from the point on the string exactly halfway between the hooks. Suppose you designate the southwest corner on the floor of your basement to be the origin of a three dimensional coordinate system. Moving east from the origin is movement in the direction of positive x, and moving north from the origin is movement in the direction of positive y. This is shown in the following image of the floor of the basement. Moving vertically up from the origin is movement in the direction of positive z. The first hook will be hung at a point 4 feet east of the origin and 7.5 feet above the origin. The second hook will be hung at a point 5 feet east of the origin, 12 feet north of the origin, and 8 feet above the origin. Provide the coordinates of the following points: 1. the first hook 2. the second hook 3. the point on the string joining the hooks that is exactly halfway between the hooks

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 18E
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No Plagiarism

20. For your birthday, you plan to hang a piñata in your basement. You decide to attach two hooks on opposite walls, connect the hooks with a taut string, and hang the piñata from the point on the string exactly halfway between the hooks.

Suppose you designate the southwest corner on the floor of your basement to be the origin of a three dimensional coordinate system. Moving east from the origin is movement in the direction of positive x, and moving north from the origin is movement in the direction of positive y. This is shown in the following image of the floor of the basement.

 

Moving vertically up from the origin is movement in the direction of positive z.

The first hook will be hung at a point 4 feet east of the origin and 7.5 feet above the origin. The second hook will be hung at a point 5 feet east of the origin, 12 feet north of the origin, and 8 feet above the origin.

Provide the coordinates of the following points:

1. the first hook

2. the second hook

3. the point on the string joining the hooks that is exactly halfway between the hooks

north
(positive y)
origin
east
(positive x)
Transcribed Image Text:north (positive y) origin east (positive x)
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