Ask Question
29 April, 08:16

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. 29 April, 08:27
    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?
Find 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 the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers