SOLUTION: A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its

Question 683891: A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing
a) 2 hours after it leaves the point P
b) 7 hours after it leaves the point P
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The route taken by the boat is a right angle
so the actual distance from starting point is any point of the hypotenuse
d(east)= 30 mi
d(south)=10 mi/h
After2 hours it would be 20 miles down south
distance from origin = sqrt(30^2+20^2) ( the legs of the right triangle)
After 2 hours it is sqrt(1300) from the origin
its rate with respect to origin = d/t
sqrt(1300)/2
10sqrt(13)/2
5sqrt(13) mi/h is the rate with respect to origin P after 5 hours.
RELATED QUESTIONS
A boat leaves X and travels east for 10km. It then sails 10km south to Y. Find the... (answered by meraj)

starting from point a, a boat sails due south for 5 miles, then due east 4 miles, then... (answered by checkley77)

starting from point A, a boat sails due south 5 miles, then due east 4 miles, then due... (answered by richwmiller)

Starting from point A, a boat sails due south for 6 mi, then due east for 5 mi, and then (answered by Fombitz)

Starting at point A, a boat sails due south for 6 mi, then due east for 5mi, and then due (answered by checkley77)

A boat sails 40km in a Northerly direction then 20km in a Westerly direction. How far is... (answered by ikleyn)

a ship sails due east from post A to post B for 6.9 miles. Then it turns in the direction (answered by stanbon)

A boat travels 4 miles south and then 6 miles east. How far is the boat from its starting (answered by Alan3354)