word problem

posted by .

An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree.
Thanks.

  • word problem -

    the plane is traveling South with the wind at 37 miles per hour
    It is flying North in the air at 450 cos 60 = 225
    so its speed North = 225 - 37 = 188
    its speed East is 450 sin 60 = 389
    so
    total speed = sqrt(188^2 + 389^2)
    =sqrt (186665)
    = 432 mph
    tan angle east of north = 389/188 = 2.07
    angle = 64.2 = 64 degrees

  • word problem -

    hj

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Precalculus

    Pilot Reem Ahmad's flight plan has her leaving Dulles International Airport and flying a Boeing 727 due east at 450 mph. There is a 65 mph wind with the bearing 60 degrees. a. Determine the compass heading that Reem should follow. …
  2. Precalculus

    I tried doing this problem, but I still don't understand it at all... Pilot Reem Ahmad's flight plan has her leaving Dulles International Airport and flying a Boeing 727 due east at 450 mph. There is a 65 mph wind with the bearing …
  3. Trig

    An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed and …
  4. calculus III

    What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
  5. calculus iii

    What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
  6. Trig

    A plane is flying at 240 mph heading North 60 degrees East. The wind is blowing at South 30 degrees East at 30 mph. What is the largest and smallest angles?
  7. trig

    An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.
  8. calculus

    Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61-mph tail wind acting in the direction 45 degrees north of east. The airplane holds its compass heading but because of the wind acquires a new ground …
  9. Math

    An airplane is flying in a direction of 65 degrees at 450 mph. A wind is blowing in a direction of 20 degrees at 35 mph. Find the actual speed and direction of the plane.
  10. 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.

More Similar Questions