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A, B and C are three towns. The bearing of B from A is 150 degrees. The bearing of A from C is 15 degrees. Find the angle CAB.

Mathematics

ScanSolve AI Answer

Here's how to solve this bearing problem:

First, let's determine the angle ∠CAB\angle CAB in the triangle formed by cities A, B, and C.

  1. The bearing of B from A is 150∘150^\circ.
  2. The bearing of A from C is 015∘015^\circ. This means the angle from the North line at C, clockwise to CA, is 15∘15^\circ.
  3. Since the North lines at A and C are parallel, the interior angle between the line CA and the North line at A (measured counter-clockwise from North) is $180^\circ - 15^\circ = 16
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