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The bearing from A to C is 24°. The bearing from C to B is 114°. The bearing from A to B is 76°. If the distance from A to B is 73 miles, what is the distance from C to B?

User Borkweb
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1 Answer

4 votes

Final answer:

The provided bearings information appears contradictory, and without additional correct data, the distance from C to B cannot be calculated using bearings and trigonometry.

Step-by-step explanation:

The question involves understanding the concept of bearings and using trigonometry to calculate distances. Bearings are used to determine the direction from one point to another, measured in degrees from the north direction clockwise. Given the bearings from A to C, C to B, and A to B, and the specific distance from A to B, we can use trigonometric principles to find the required distance from C to B.

However, the information provided seems contradictory because the bearings do not form a closed traverse as would be necessary for solving such a problem. Typically, one would expect that the internal angles formed between the bearings should sum to 360 degrees if the points A, B, and C form a triangle on a flat surface. Since the problem as given cannot have a solution, we can't calculate the distance from C to B.

User Tishona
by
8.0k points

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