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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 in the triangle formed by cities A, B, and C.
- The bearing of B from A is .
- The bearing of A from C is . This means the angle from the North line at C, clockwise to CA, is .
- 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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