you are 7 miles N & 4 miles W of the cabin how do you get back to the cabin?

how many miles away is the cabin?

Now I have done two of these for you. They are all the same. You try.

To determine how to get back to the cabin, we first need to know the direction from your current location (7 miles N & 4 miles W) to the cabin. Let's assume that the cabin is located due south of your current location.

To get back to the cabin, you need to travel south. Since you are 7 miles north of the cabin, you need to travel 7 miles in the opposite direction. Additionally, you are 4 miles west of the cabin, so you need to travel 4 miles in the opposite direction as well (east).

To calculate the distance from your current location to the cabin, you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the distance you travel north (7 miles) is one side of a right triangle, and the distance you travel west (4 miles) is the other side. To find the length of the hypotenuse, which represents the distance to the cabin, you can use the formula:

Distance = √((North distance)^2 + (West distance)^2)

Plugging in the values, you get:

Distance = √((7 miles)^2 + (4 miles)^2)
Distance = √(49 miles^2 + 16 miles^2)
Distance = √(2401 miles^2 + 256 miles^2)
Distance = √(2657 miles^2)
Distance ≈ 51.54 miles

Therefore, the cabin is approximately 51.54 miles away from your current location.