# basic geometry

for safety reasons , anyone parasailing behind a boat needs to stay at least 25 feet away from the back of the boat.
if you were parasailing using a 250 foot rope , how far from the boat would you be if you were 100 feet high in the air ? round to the nearest tenth.
what is the maximum safe height staying at least 25 feet away from the boat to which you could rise while parasailing with 250 foot rope? round to the nearest tenth.
if you wanted the maximum height you could sail at to be limited to 50 feet while coming as close as is safe to the boat , how long of a rope should you use ? round to the nearest tenth.please help me!!!!!

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1. as usual, draw a diagram.
(a) x^2 + 100^2 = 250^2
(b) 25^2 + x^2 = 250^2
(c) 25^2 + 50^2 = x^2

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