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A two mile pier and a one mile pier extend perpendicular into the ocean with four miles of shore between the.?
A two mile pier and a one mile pier extend perpendicular into the ocean with four miles of shore between the two piers. A swimmer wishes to swim from the end of the longer pier to the end of the shorter pier with one rest stop on the beach. Find the shortest possible swim.
The point where the two-mile pier meets the shore is (0, 0).
The end of the two-mile pier is (0, 2).
The end of the one-mile pier is (4, 1).
Calculate distance:
x1 = 0
y1 = 2
x2 = 4
y2 = 1
d² = (x2 - x1)² + (y2 - y1)²
d² = (4 - 0)² + (1 - 2)²
d² = 4² + (- 1)²
d² = 16 + 1
d² = 17
d = √17
d = 4.123 mi.
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See diagram below:
http://i533.photobucket.com/albums/ee339/revo_emag/image214.jpg
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