SOLUTION: Please help me find the function Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that

Question 575520: Please help me find the function
Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that models the distance between the ships in terms of time elapsed since their departure.
I have drawn out a picture but im still confused on how to form the function
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two ships leave port at the same time.
One sails south at 15 miles per hour and the other sails east at 20 miles per hour.
Find a function that models the distance between the ships in terms of time elapsed since their departure.
:
Let t = time from departure
:
We know that d = speed*time, therefore
15t = distance traveled by the southbound ship
20t = distance traveled by the eastbound
:
This is a right triangle problem: c^2 = a^2 + b^2, where
a = 15t
b = 20t
c = distance between them at t time
:
c^2 = (15t)^2 + (20t)^2
c^2 = 225t^2 + 400t^2
Combine like terms
c^2 = 625t^2
Find the square root of both sides
c =
which is
c = 25t
f(t) = 25t, would be the function

RELATED QUESTIONS
two ships leave from the same port at 11:30 am if one sails due east at 20 miles per hour (answered by 55305)

Two ships leave port at the same time. One sails south at 15 mi/h and the other sails... (answered by bucky)

Two ships leave port at the same time. One sails south at 15 mi/h and the other sails... (answered by ankor@dixie-net.com,josmiceli)

Two ships leave port at the same time. One sails south at 15 mi/h and the other sails... (answered by macston)

Two ships leave port at noon. One ship sails north at 6 miles per hour and the other... (answered by Alan3354)

Two ships leave port at the same time. One sails south at 15mph and the other sails east... (answered by stanbon)

Two ships leave port at the same time and travel at right angles to each other. One ship... (answered by mananth)

Please explain how to show work for this problem and the answer: Two ships leave a... (answered by mananth)

A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another... (answered by Alan3354)