SOLUTION: 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?

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.
RELATED QUESTIONS
A ship travels on a N 28o E course. The ship travels until it is due north of a port... (answered by CPhill)

At 1 pm, ship a leaves port heading due west at x miles per hour. two hours later ship B... (answered by TimothyLamb,richwmiller)

a ship travels 120 miles due north then makes a turn due west. it travels 250 miles west... (answered by richwmiller)

a ship travels miles due north then make a turn due west. it travels 250 miles west how... (answered by unlockmath)

A ship travels on a N 34o E course. The ship travels until it is due north of a port... (answered by ankor@dixie-net.com)

The HMS Sasquatch leaves port on a bearing of N17ºE and travels for 9 miles. It then... (answered by Alan3354)

1. A ship leaves a port and sails for 4 hours on a course of 78� at 18 knots. Then the... (answered by KMST)

A ship leave port and steams 100km due North. It then turns and steams 120km due East.... (answered by nerdybill)

A ship leaves port and sails 12 kilometers west and then 19 kilometers north How far is... (answered by mananth)