# Math

posted by John

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?

1. Damon

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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