Calculus test tomorrow

A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 5km and climbs at an angle of 35 degrees. At what rate, in km/min, is the distance from the plane to the radar station increasing 4 minutes later?

I know side A=5 but how do i get side B and C and with angle 35 What equation i need to do my implicit differentiation? plz help

X = 24 t cos 35
dX/dt = 24 cos 35
Y = 5 + 24 sin 35
dY/dt = 25 sin 35
R^2 = X^2 + Y^2
You want dR/dt when t = 4
2R dR/dt = 2X dX/dt + 2Y dY/dt
Compute X, Y and R when t=4 and then solve for dR/dt

  1. 👍 0
  2. 👎 0
  3. 👁 113
asked by jimmy

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude of 5 km and climbs at an angle of 45 degrees. At what rate, in km/min is the distance from the plane to the radar station

    asked by Anonymous on October 7, 2011
  2. calculus

    A plane flying with a constant speed of 23 km/min passes over a ground radar station at an altitude of 5 km and climbs at an angle of 35 degrees. At what rate, in km/min is the distance from the plane to the radar station

    asked by angel on February 25, 2010
  3. math

    A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 7 km and climbs at an angle of 35 degrees. At what rate, in km/min, is the distance from the plane to the radar station

    asked by Alexandra on May 24, 2011
  4. Calculus

    A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 8 km and climbs at an angle of 20 degrees. At what rate, in km/min, is the distance from the plane to the radar station

    asked by Danny on March 1, 2010
  5. MATH

    A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate, in km/min, is the distance from the plane to the radar station

    asked by Jia on March 6, 2007
  6. Calculus

    A plane flying with a constant speed of 5 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 35 degrees. At what rate, in km/min is the distance from the plane to the radar station

    asked by Z32 on September 25, 2009
  7. MATH

    A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 5km and climbs at an angle of 35 degrees. At what rate, in km/min, is the distance from the plane to the radar station

    asked by jimmy on March 8, 2007
  8. calculas

    A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 25 degrees. At what rate is the distance from the plane to the radar station increasing 3

    asked by Anonymous on October 26, 2013
  9. Calculus

    RP^2=RQ^2 + QP^2 -2(RQ)*(QP)cosQ (1) QP = 24 (km/min) t (2) Diffentiate both sides w.r.t. the time t: 2 RP* d Rp/dt = 2 t [24 (km/min)]^2 -2(RQ)* 24 (km/min) cosQ (3) Using (1) and (2) you find out what RP is at t = 4 minutes. You

    asked by Count Iblis on November 14, 2006
  10. CALCULUS

    A plane, flying horizontally at an altitude of 1 km and a speed of 500 km/hr, passes directly over a radar station. find the rate in km/hr at which the distance from the plane to the station is changing when it is 2 km away from

    asked by TANYA on April 24, 2014

More Similar Questions