Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north. At what location is the vessel in distress located? Describe how you arrived at your conclusion using complete sentences. You must show all work in order to receive credit.
@A.S.L.
Euclid's first two postulates are 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line. We can assume the distress signal is coming from one source at one specific location, and that it sends a signal in a straight line. Ship "A" is receiving it from the northeast, so draw a line from "A" that goes northeast, and extend it across the page. Ship "B" Is receiving the signal from the west, so draw a horizontal line from "B" out towards the west (left). Extend that line too. ***--->The place where they meet must be where the signal is. <------* In terms of the postulates, we have 3 points: where ship "A" is, where ship "B" is, and where the signal is. Let's call these A, B, and C, respectively. Postulate #1 says we can draw a straight line between A and C, and another one between B and C. This --> A coordinate graph shows two points labeled 1,1 with an arrow pointing NE and 5,3 with an arrow pointing W. IThe ship is north of Ship B on the line x=1, the amount of distance from ship B is fixed by ship A, and from the diagram it would be the point of intersection of the respective bearings from Ships A and B. An approximation would be the point (1,2).
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