# SOLUTION: Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the t

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the t      Log On

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 Question 274698: Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the time (T) in hours elasped since thier departure. I have solved in the followinf way and don't understand where I've gone wrong. I'm coming up with a different answer than what's in my textbook. (By Pathagorean Therom) D= 15(t) squared + 20(t) squared. D(T) = 35(t) squared. My textbook says that the answer is D(T) = 25T. How are they getting this solution? Where am I going wrong? Please help!Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the time (T) in hours elasped since thier departure. -------------------- Draw the picture. East distance = 20t South distance = 15t ------------------------------- Using Pythagoras: D^2 = (20t)^2 + (15t)^2 --- D^2 = 400t^2 + 225t^2 --- D^2 = 625t^2 ---- D = 25t ========================== Cheers, Stan H.