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 18 feet above the ground.
To meet the slope constraint, Esteban wants to change the height 7 feet and end the
zip line at a height 11 feet above the ground. He claims this vertical change meets the
slope constraint.
Test Esteban'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.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

To use the treehouse as the start of the zip line, the cable needs to be attached to the starting tree at a height of 18 feet above the ground.

To meet the slope constraint, Esteban wants to change the height to 7 feet and end the zip line at a height of 11 feet above the ground.

He claims this vertical change meets the slope constraint.

The slope for tree A will be

[tex]\rm Slope \ A = \dfrac{7}{120}\\\\Slope \ A = 0.0583[/tex]

The slope for tree B will be

[tex]\rm Slope \ B = \dfrac{7}{160}\\\\Slope \ B = 0.043[/tex]

For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.

More about the slope link is given below.

https://brainly.com/question/3605446

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