Math (Trig)

A ship leaves port at noon and has a bearing of S 25° W. The ship sails at 15 knots. How many nautical miles south and how many nautical miles west does the ship travel by 6:00 P.M.? (Round your answers to two decimal places.)

Miles South?
Miles West?

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  1. distance in the direction of the bearing = 6(15) or 90 n miles.
    make your sketch to see:
    sin 25° = x/90
    x = 90sin25 = appr 38.04 n miles
    cos25= y/90
    y = 90cos25= 81.57 n miles

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