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?

Question

Mathematics

Sherlyn Hendricks

2 June, 20:20

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?

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Answers (1)

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Valery Dillon · Answer 1

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 ...