Ship A is traveling due west toward Lighthouse Rock at a speedof 15 kilometers p

Question

Ship A is traveling due west toward Lighthouse Rock at a speedof 15 kilometers per hour (km/hr). Ship Be is traveling due northaway from Lighthouse Rock at a speed of 10 km/hr. Let x be thedistance between Ship A and Lighthouse Rock at time t, and let y bethe distance between Ship B and Lighthouse Rock at time t, as shownin the figure below. (a) Find the distance in kilometers between ship A and ship Bwhen x=4 and y=3km. (b) Find the rate of chage. in km/hr of the distance betweenthe two ships when x=4 and y= 3km. Ship A is traveling due west toward Lighthouse Rock at a speedof 15 kilometers per hour (km/hr). Ship Be is traveling due northaway from Lighthouse Rock at a speed of 10 km/hr. Let x be thedistance between Ship A and Lighthouse Rock at time t, and let y bethe distance between Ship B and Lighthouse Rock at time t, as shownin the figure below. (a) Find the distance in kilometers between ship A and ship Bwhen x=4 and y=3km. (b) Find the rate of chage. in km/hr of the distance betweenthe two ships when x=4 and y= 3km.

Explanation / Answer

a) distance2=16+9 distance2=25 distance=5

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