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I have this navigation problem that I am not sure about?
The Problem Says:
You are sailing due east (90degreeT) from the mouth of the York River across the Chesapeake Bay to Old Dominion Plantation Flats light at Cape Charles on the Eastern Shore on an exceptionally clear day. You can see Wolf Trap light due north (0 degreeT) of your present position. On your chart you measure the distance from Wolf Trap light to Old Plantation Flats light to be 13.1 nautical miles. On your chart you measure the bearing from Wolf Trap light to Old Plantation Flats light to be 140degrees T. How many nautical miles(to the nearest tenth) is it from your boat to Old Plantation Flats light? How many nautical miles (to the nearest tenth) is it from your boat to Wolf Trap light?
Please solve this problem and explain how you did it.
Use a triangle, with the boat at the right angle. The angle from WolfTrap to Old Plantation is 140 making the angle on the other side 40 (140+40=180). The use simple trig...cos(40)*13.1 (the distance between the two) gives you 10.0 miles.
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