Math (PreCal)

Kurt wants to sail his boat from a marina to an islnd 15 miles east of the marina. Along the course, there are several small islands they must avoid. He sails first on a heading of 70 degrees and then on a heading of 120 degrees. What is the total distance he travels before reaching the island?

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  1. 70 is 20 north of east
    120 is 30 south of east
    draw that triangle with your two courses and the x (east) axis
    your triangle has angles 20, 30 with leg 15 between
    the angle at the top, opposite the 15 miles is therefore
    180 - 50 = 130
    then law of sines
    sin30/leg1 = sin130/15
    so leg1 = 9.8

    sin20/leg2 = sin130/15
    so leg2 = 6.7
    9.8+6.7 = 16.5 miles

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    posted by Damon

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