Two Lights Lighthouses
two lights lighthouses
Can someone help me draw a picture for this trig. word problem?
Ship A is 72 miles from a light house on a shore. Its bearing from the lighthouse is N 15 degrees E. Ship B is 81 miles from the same lighthouse. Its bearing is N 52 degrees E. Find the number of miles between the two ships.
Hi,
The difference between the 2 angles 52 - 15 or 37 degrees is the angle between the 2 measured distances. That gives you a triangle with 2 sides with lengths of 72 and 81 and the included angle of the triangle is 37 degrees. You can now use the Law of Cosines to find the distance between the 2 ships. That law is:
c^2 = a^2 + b^2 -2ab cos C
c^2 = 72^2 + 81^2 -2(72)(81)cos 37degrees
c = 49.29 miles This is the distance between the 2 ships!
I hope that helps.
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