Question

PLEASE HELP HURRY

Matt decides to let you choose the slope for the zip line. Choose a slope that
is within the constraints.
Using that slope, how much higher is the starting point of the zip line going
to need to be than the ending point?
Enter the difference, in feet, between the heights of the starting and ending
points.

slope constraint: the slope of the zip line should be 6 to 8 feet of vertical change for every 100 feet of horizontal change

Answer 1

The zip line needs to be 35 feet higher than the ending point.

Explanation:

Assuming that we want to build a zip line with a slope of between 6 to 8 feet of vertical change for every 100 feet of horizontal change, we can choose a slope of 7 feet of vertical change for every 100 feet of horizontal change. This slope is within the given constraint of 6 to 8 feet of vertical change for every 100 feet of horizontal change.

To determine how much higher the starting point of the zip line needs to be than the ending point, we need to know the horizontal distance between the two points. Let's assume that the horizontal distance between the two points is 500 feet.

Using the slope of 7 feet of vertical change for every 100 feet of horizontal change, we can calculate the vertical change as follows:

Vertical change = slope * horizontal change

Vertical change = 7/100 * 500

Vertical change = 35 feet

Therefore, the starting point of the zip line needs to be 35 feet higher than the ending point.

Answer 2

Okay, let's break this down step-by-step:

1) We need to choose a slope within 6 to 8 feet of vertical change for every 100 feet of horizontal change.

Let's choose a slope of 7 feet of vertical change for every 100 feet of horizontal change.

2) So for every 100 feet horizontally, the zip line will drop 7 feet vertically.

3) We know the ending point height, but we need to calculate the starting point height.

4) If the ending point height is 100 feet above the ground, then for every 100 feet of horizontal distance, the line drops 7 feet.

So to drop 100 feet vertically, the line would have to travel 100 / 7 = 14.29 ~ 15 100-foot segments.

5) So if the ending point is 100 feet above the ground,

the starting point will be 100 + (15 * 7) = 100 + 105 = 205 feet above the ground.

6) Therefore, the difference between the starting and ending point heights is 205 - 100 = 105 feet.

So the difference between the starting and ending point heights of the zip line is 105 feet.

Please let me know if any of the steps are unclear or if you have any other questions! I'm happy to explain further.