You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 205 yards due west from your position and takes a bearing on the cabin of N 23.9°E. How far are you from the cabin? asap would be great also running out of points srry

462.61 yards.

Step-by-step explanation:

To solve, you need to find the measurement of the angle that forms a 90 degree angle with the 23.9 degree angle.

90 - 23.9 = 66.1 degrees.

Now that you have the angle, you can use TOA to solve for x (TOA = Tangent; Opposite over Adjacent).

tan(66.1) = x / 205

x / 205 = tan(66.1)

x = tan(66.1) * 205

x = 2.256628263 * 205

x = 462.6087939

So, you are about 462.61 yards from the cabin.

Hope this helps!

1

step-by-step explanation:

it's the only multiple of both and the least