Math

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Two boats leave the same place at the same time. The first sails in a straight line
N70°W at 45 miles per hour and the second goes in a straight line S23°E at 57 miles per hour. After 1 hour, how far apart are the boats, to the nearest tenth of a mile?

  • Math -

    boat 1
    north 45 cos 70
    east -45 sin 70

    boat 2
    north -57 cos 23 opposite so add
    east 57 sin 23 opposite so add

    total north = 15.4 + 52.5 = 67.9
    total east = +42.3 + 22.3 = 64.6

    total =sqrt(67.9^2+64.6^2)

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