PreCalc - Vectors

An airplane is flying with an airspeed of 660 Kilometers per hour. The wind is blowing from 345 degrees at 35 km/h. What direction should the airplane take so that, with the wind, the plane will be flying in a direction of 72 degrees?

I can compute airspeed and actual direction using law of sines and cosines but not sure how to figure out the requested 72 degree part.

  1. 👍 0
  2. 👎 0
  3. 👁 248
asked by Joe
  1. X = hor. = 660 + 35cos345 = km/h.

    Y = ver. = 35sin345 =

    tanA = Y/X = -9.06 / 693.8 = -.0131,
    A = -0.75 deg.

    A + B = 72,
    -0.75 + B = 72,
    B = 72 + 0.75 = 72.75 deg. = Direction.

    1. 👍 0
    2. 👎 0
    posted by Henry
  2. Vpw = Vp + Vw = 660[72o].
    Vp + 35[345o] = 660[72].
    Vp+35*Cos345+35*sin345=660*Cos72+660*sin72.
    Vp + 33.8-9.1i = 204+627.7i.
    Vp=204 + 627.7i -33.8+9.1i=170.2+636.8i
    = 659km/h[75o].

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. trigo

    An airplane travels on a bearing of 245 degrees at an airspeed of 200 kilometers per hour while a wind is blowing 50 kilometers per hour from 140 degrees. Find the ground speed of the airplane and the direction of its track, or

    asked by thomas on September 16, 2014
  2. trig

    An airplane is flying in the direction 148° with an airspeed of u = 920 kilometers per hour. Because of the wind, its groundspeed and direction are v = 820 kilometers per hour and 140°, respectively (see figure). Find the

    asked by bob on November 2, 2015
  3. math

    An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the

    asked by lilly on June 3, 2015
  4. MATH

    An airplane is flying in the direction 148° with an airspeed of u = 865 kilometers per hour. Because of the wind, its groundspeed and direction are v = 780 kilometers per hour and 140°, respectively (see figure in the link

    asked by ghost on February 28, 2019
  5. Math

    An airplane has an airspeed of 724 kilometers per hour at a bearing of 30 degrees.The wind velocity is 32 kilometers per hour from the west. What are the groundspeed and the direction of the plane?

    asked by Matt on February 16, 2011
  6. Math

    An airplane has an airspeed of 724 kilometers per hour at a bearing of 30 degrees.The wind velocity is 32 kilometers per hour from the west. What are the groundspeed and the direction of the plane?

    asked by Kourt on February 18, 2011
  7. Math- Please Help!!

    An airplane has an airspeed of 724 kilometers per hour at a bearing of 30 degrees.The wind velocity is 32 kilometers per hour from the west. What are the groundspeed and the direction of the plane?

    asked by Kourt on February 18, 2011
  8. Cartesian Vectors

    An airplane is flying at an airspeed of 345 km/h on a heading of 040 degrees. The wind is blowing at 18 km/h from a bearing of 087 degrees. Determine the ground velocity of the airplane.

    asked by Anonymous on May 24, 2010
  9. Math

    an airplane is flying with an airspeed of 145 mph and a heading of 84.5 degrees. q wind of 24.6 omh is blowing at a heading of 68.4 degrees. find the ground speed and course of airplane

    asked by Ibrahim on April 14, 2016
  10. Math

    An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 50 km/hr toward the southeast. In what direction should the plane head to end up going due east? (Round your answer to two decimal places.)What is the

    asked by Kristen on August 28, 2015

More Similar Questions