Math

an airplane is flying a compass of 340 degrees at 325 mph. A wind is blowing with the bearing 300 degrees at 30 mph. Find the component form of the velocity, and find the actual ground speed and direction of the plane.

  1. 👍 0
  2. 👎 0
  3. 👁 279
asked by Maddie
  1. V = 325mph[340o] + 30mph[300o]

    X = 325*cos340 + 30*cos300 = 320.4 mph =
    Hor. component.
    Y = 325*sin340 + 30*sin300 = -137.1 mph
    = Ver. component.

    TanA = Y/X = -137.1/320.4 = -42802
    A = -23.17o,CW = 336.8 CCW.

    V = 320.4/cos336.8 = 348.6mph[336.8o]

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by K on December 17, 2010
  2. 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.

    asked by Susan on January 10, 2017
  3. Trig

    In still air, an airplane is flying at 100 mph. It encounters a wind blowing toward the west at 50 mph. What should be the plane's compass heading for its course to be N30ºW?

    asked by Annie on December 7, 2015
  4. 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

    asked by lon on June 3, 2014
  5. Trig/Precal

    An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

    asked by Lauren T on July 6, 2012
  6. trig

    An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction

    asked by ale on May 25, 2011
  7. 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
  8. Trig

    The problem is: an airplane is flying in the direction 120 degrees with an airspeed of 320 mph, and a 35 mph wind is blowing in the direction 60 degrees. The question ask to find the true course and the ground speed. To solve the

    asked by Morgan on June 2, 2014
  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.

    asked by Jayme on November 20, 2014
  10. word problem

    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.

    asked by jen on March 28, 2008

More Similar Questions