Ask Question
13 August, 10:10

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 200 yards due west from your position and takes a bearing on the cabin of N 30.7°E. How far are you from the cabin?

+1
Answers (1)
  1. 13 August, 12:35
    0
    336.7 yards away from the cabin ...

    Step-by-step explanation:

    The angle 30.7° is also the angle of the upper interior angle of the triangle (near the cabin)

    Use the tan function:

    opposite = 200 yards

    adjacent = x

    tan (30.7°) = (opposite / adjacent)

    tan (30.7°) = 200 yards/x

    x * tan (30.7°) = 200 yards

    x = 200 yards / tan (30.7°)

    x = 200 / 0.594

    x = 336.7 yards.

    336.7 yards away from the cabin ...
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers