A camper wants to protect her bag of food from bears. She decides to tightly stretch a rope between two trees and hang her bag

Question

A camper wants to protect her bag of food from bears. She decides to tightly stretch a rope
between two trees and hang her bag from a point exactly halfway along the length of the rope.
The first tree is 10 feet east and 6 feet north of her firepit. The second tree is 5 feet west and 8
feet north of her firepit. The rope is attached at a height of 8 feet to the first tree and a height of
9 feet to the second tree.
Let the firepit represent the origin, movement east of the firepit represent movement in the
direction of positive x, movement west of the firepit represent movement in the direction of
negative x, movement north of the firepit represent movement in the direction of positive y,
and movement above the firepit represent movement in the direction of positive z.
1. Write the coordinates of the points on the trees where the rope is attached.
2. Find the distance between the points in part a. Use "sqrt ()" to indicate a square root.
For example, √√3 would be written sqrt (3).
3. Find the coordinates of the point where the food bag is hung.
4. If the food bag is 1.2 feet long when hung and bears can reach a height of 7.5 feet when
standing, is the camper's food safe from bears? Explain why or why not.

Kunduz · Accepted Answer

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