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Using Midpoint and Distance Formulas

Using Midpoint and Distance Formulas 1.9 - Solution

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In order to find the length of the trail, we need to use the distance formula. Thus, we need to form two coordinates. When Dave and Caroline start, they have walked feet in horizontal direction and they are feet up in vertical direction. When they finished the track they will be feet away from the start in horizontal direction and above the ocean. We will now substitute the points into the distance formula.
Simplify right-hand side
The length of the trail is about feet. Note that we keep our answer in exact form to avoid having to round our answer twice. Since there are feet in one mile, to convert this distance into miles we have to divide it by The length of the trail is about miles.