anonymous
  • anonymous
A plane flying with a constant speed of 180 km/h passes over a ground radar station at an altitude of 2 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
phi
  • phi
Here is an outline on how to do this, using calculus |dw:1332284822147:dw| all units in km. d is how far the plane moved in 1 minute (180 km/hour * 1/60 hour) r is the distance between the plane and the station using the law of cosines: \[ r^2= d^2 + 2^2 - 2dcos(120º) \] solve for r when d= 3 km (one min of flying) take the derivative wrt time: \[2 r \frac{dr}{dt}= 2 d \frac{dd}{dt} + \frac{dd}{dt}\] the plane is moving at dd/dt (sorry about choosing d!) = 3 km/min plug r, dd/dt, d into the equation and solve for dr/dt

Looking for something else?

Not the answer you are looking for? Search for more explanations.