Two row boats start at the same location, and start traveling apart along straight lines which meet at an angle of π3. boat a is traveling at a rate of 5 miles per hour directly east, and boat b is traveling at a rate of 10 miles per hour going both north and east. how fast is the distance between the rowboats increasing 3 hours into the journey?

  5√3 miles per hour

Step-by-step explanation:

Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:

  (10 mph)(cos(π/3)) = 5 mph

Meanwhile, the component of velocity of rowboat B to the north is ...

  (10 mph)(sin(π/3)) = 5√3 mph

Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.

The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.

step-by-step explanation:

if u want da anser kill your teeser ifu hav wun

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.