Question

To use the tree house as the start of the zip line, the cable needs to be
attached to the starting tree at a height 16 feet above the ground.
To meet the slope constraint, Vince wants to change the height 7 feet and
end the zip line at a height 9 feet above the ground. He claims this vertical
change meets the slope constraint.
Test Vince's claim for Tree A and Tree B. Use specific numbers from the
situation to justify or refute whether having a vertical change of 7 feet will
satisfy the slope constraint for each tree.

Answer 1

The minimum allowable value of slope for tree A is 0.052 and rte slope of the zip line is 0.043 in tree B.

How to calculate the slope?

The horizontal distance from starting tree is 135 feet. Therefore, the slope of the zipline will be:

= 7/135 = 0.052

The horizontal distance from starting tree for tree B is 160 feet. Therefore, the slope of the zipline will be:

= 7/160

= 0.043

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