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.
:
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) = {{{sqrt((15t)^2 + (20t)^2)}}}
:
d(t) = {{{sqrt(225t^2 + 400t^2)}}}
:
d(t) = {{{sqrt(625t^2)}}}
d(t) = 25t