If he distance from the town of bree to weathertop is 8 miles on a 45 degree upward slope, what is the elevation gain (omit units)?

The elevation gain is 4√2 or 5.6569

Step-by-step explanation:

Consider the provided information.

The distance from the town of Bree to weathertop is 8 miles on a 45 degree upward slope,

The required figure is shown in figure 1.

Here, the triangle is right angle triangle with one angle 45 degree.

Thus, the measure of angles will be: 90°, 45° and 45°

Therefore, both legs of the triangle must be equal. Now by using Pythagorean Theorem,

Hence, the elevation gain is 4√2 or 5.6569

step-by-step explanation: