you are 7 miles N & 4 miles W of the cabin how do you get back to the cabin?
Bearing?
walk 7 mi S and then 4 mi E
or
4 mi E then 7 mi S
S 29.7° E
because tan 29.7 = 4/7
ty so much
To determine how to get back to the cabin, we need to find the bearing or direction from your current location to the cabin.
If you are 7 miles north and 4 miles west of the cabin, we can use trigonometry to find the bearing.
First, let's visualize the situation. Draw a right-angled triangle, where one of the shorter sides represents the 4 miles westward and the other shorter side represents the 7 miles northward. The hypotenuse of this triangle represents the straight-line distance or bearing from your current location to the cabin.
To find the bearing, we can use the tangent function (tan), which is the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is 7 miles (north) and the adjacent side is 4 miles (west). Therefore, we can calculate the tangent of the angle:
tan(angle) = opposite/adjacent = 7/4
Now, we can find the angle by taking the inverse tangent (arctan) of the ratio:
angle = arctan(7/4)
Using a calculator or mathematical software, you can calculate the angle.
Once you have the angle, you can use a compass or a compass app on your phone to ensure you head in the right direction. For example, if the angle is 45 degrees, you would head 45 degrees north-west from your current location to reach the cabin.