You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 220 yards due west from your position and takes a bearing on the cabin of N 21.2°E. How far are you from the cabin

Question

Leonidas Maxwell

Mathematics

26 January, 10:43

You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 220 yards due west from your position and takes a bearing on the cabin of N 21.2°E. How far are you from the cabin

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Answers (1)

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Hanna · Answer 1

Cabin is 567 yards away ...

Step-by-step explanation:

The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 220 yards

adjacent = x

tan (21.2°) = (opposite / adjacent)

tan (21.2°) = 220 yards/x

x * tan (21.2°) = 220 yards

x = 220 yards / tan (21.2°)

x = 220 / 0.388

x = 567 yards.

Cabin is 567 yards away ...