SOLUTION: Distance between ships: At noon, Ship A is 45 miles due south of Ship B and is sailing north at a rate of 8 miles per hour. Ship B is sailing east at a rate of 6 miles per hour. Wr

Question 707037: Distance between ships: At noon, Ship A is 45 miles due south of Ship B and is sailing north at a rate of 8 miles per hour. Ship B is sailing east at a rate of 6 miles per hour. Write the distance (d) between ships as a function of the time (t), where t=0 represents noon.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Distance between ships: At noon,
Ship A is 45 miles due south of Ship B and is sailing north at a rate of 8 miles per hour.
Ship B is sailing east at a rate of 6 miles per hour.
Write the distance (d) between ships as a function of the time (t), where t=0 represents noon.
:
The is a Pythagoras problem; d = where:
a = 6t (distance east)
b = (45-8t); distance north
d = distance between the two ships
:
Ref point, is the starting point of b when t=0 they are 45 mi apart
d =
FOIL (45-8t)(45-8t)
d =
combine like terms
d =
:
Graphically, time on the x axis, distance on the y axis

You can see after 14 hrs, they are about 107 mi apart (green line)
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