SOLUTION: A lighthouse is 10 nautical miles north-east of a ship. How far is the ship west of the
lighthouse (correct to two decimal places).
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Question 1193545: A lighthouse is 10 nautical miles north-east of a ship. How far is the ship west of the
lighthouse (correct to two decimal places).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this
There is a right triangle with the hypotenuse the distance to the lighthouse. That angle is 45 degrees east of north.
One of the legs is the distance north to the lighthouse, the other the distance west from the lighthouse. Both of them are the same length in this 45-45-90 triangle, and the distance is 10/sqrt(2)=5 sqrt (2) nm, or about 7.07 nm.
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