PreCalc - Vectors

posted by .

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.

  • PreCalc - Vectors -

    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.

  • PreCalc - Vectors -

    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].

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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.
  2. 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?
  3. 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?
  4. 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?
  5. 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 course, …
  6. 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 pilot …
  7. 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 direction …
  8. math

    A new passenger airplane is flying from Vancouver heading overseas to Asia. The wind is blowing from the west at 90 km/h. The airplane is flying at a speed of 950 km/h and must stay on a heading of south 60 degrees west A) What heading …
  9. Trig/PreCalc

    An airplane is flying on a compass heading of 160 degrees at 425 mph. A wind is blowing with the bearing 200 degrees at 75 mph. Find the actual speed and direction of the airplane.
  10. trig

    An airplane has an airspeed of 450 kilometers per hour bearing Upper N45E. The wind velocity is 60 kilometers per hour in the direction Upper N30W. Find the resultant vector representing the path of the plane relative to the ground. …

More Similar Questions