SOLUTION: Two ships leave port at the same time. One sails south at 15 mi/h and the other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the

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Question 235884: Two ships leave port at the same time. One sails south at 15 mi/h and the other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure.
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(6693) About Me  (Show Source):
You can put this solution on YOUR website!
Two ships leave port at the same time.
One sails south at 15 mi/h and the other sails east at 20 mi/h.
Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure.
:
This is right triangle, legs formed by the path of the two ships
distance between the ships is the hypotnenus
a^2 + b^2 = c^2
;
a = 15t
b = 20t
c = d
:
d(t) =
:
d(t) =
:
d(t) =
d(t) = 25t

Answer by josmiceli(3009) About Me  (Show Source):
You can put this solution on YOUR website!
The distance for 1st ship is

The distance for 2nd ship is

The distance between them is




check:
In 10 hours












OK