Two boats sail away from a buoy making a 90 degree angle. the first boat is 165 meters away and is traveling at 25 m/s. the second boat has been traveling at 35 m/s for pi minutes. what is the rate of change in distance between the two boats?

Step-by-step explanation:

lets say in the shown triangle x=165

so speed

and  

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y =

y =

Now using the pythagorean :

derivate the equation so  we get :

m/s

So Rate of change = 25.387 m/s

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: