Question 192912: A ship leaves port and proceeds west 30 miles. It then changes course to 020* until it is due north of its origin. How far north of it origin is it?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! heading is angle from true north.
sketch a rough triangle, start at right angle on right side, west is horizontal line left, hypotenuse is 20 deg from north from left position . The required distance in along vertical line from initial position to intersection with hypotenuse.
The 20 deg angle is also the vertex angle at top of triangle, by AIA.
in short, tan 20 deg = 30 /x
x=30/tan20=82.424.
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