Question 1198808: The bearing from A to B is S 27⁰ E, and the bearing from B to C is N 63⁰ E. A ship traveling at 12 nautical miles per hour needs 1.25 hours to go from A to B and 1.75 hours to go from B to C. Find the bearing, to the nearest tenth, from B to A.
Answer by textot(100) (Show Source):
You can put this solution on YOUR website! **1. Understand Bearings**
* Bearings are measured clockwise from North.
* S 27° E means 27° East of South.
* N 63° E means 63° East of North.
**2. Find the Bearing from B to A**
* **Bearing from A to B:** S 27° E
* This is 27° clockwise from South.
* To find the bearing from B to A, we need to find the opposite direction.
* **Bearing from B to A:**
* 180° (South to North) + 27° = 207°
* This is 207° clockwise from North, which can be written as **S 73° W**
**Therefore, the bearing from B to A is S 73° W.**
**Note:**
* The given information about the ship's speed and travel times is not necessary to solve this problem.
* The bearing from B to A depends solely on the directions of travel between the points.
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