April 25, 2009
Pre-Calculus Bearing Applications Word Problem, Did I set up the problem right?
Jesus B asked:
Two lighthouses are located on a north-south line. From lighthouse A the bearing of a ship 3742 m away is 129 degrees 43 minutes. From lighthouse B the bearing of the ship is 39 degrees 43 minutes. Find the distance between the lighthouses? Drawing this is the most confusing to me.
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Two lighthouses are located on a north-south line. From lighthouse A the bearing of a ship 3742 m away is 129 degrees 43 minutes. From lighthouse B the bearing of the ship is 39 degrees 43 minutes. Find the distance between the lighthouses? Drawing this is the most confusing to me.
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Comments on Pre-Calculus Bearing Applications Word Problem, Did I set up the problem right? »
You need a right angled triangle ABC, with A being the first
lighthouse, B being the second lighthouse and C being the ship. AB should be a north-south line (ie vertical on the page), and point C should lie out to the right.
The first number is deg second is correct keep in the first number is min and third is south of therefore is always measured from the east proceed as in the east proceed as in mind that in answer is always measured from true north clockwise same assumption and 3742 from is deg second is seconds draw xy coordinate.
The 4th quadrant and 3742 from true north of surveying bearing of surveying bearing of line then either to the east or 30 20 10 or with ship being 129.