Ask Question
26 May, 00:48

An airplane is traveling at a speed of 200 miles/hour with a bearing of 240°. The wind velocity is 60 miles/hour at a bearing of 25°. What are the plane's actual speed and direction angle?

+5
Answers (1)
  1. 26 May, 00:55
    0
    Vx=-200cos60+60cos25

    vy=-200sin60+60sin25

    v = (vx^2+vy^2) ^ (1/2)

    v=154.73mph

    tana=vy/vx

    a=arctan (vy/vx)

    a≈72.85 and this is in the third quadrant so:

    The bearing is 180+72.85=252.85

    So:

    The plane is traveling at a speed of 154.73mph with a bearing of 252.85°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “An airplane is traveling at a speed of 200 miles/hour with a bearing of 240°. The wind velocity is 60 miles/hour at a bearing of 25°. What ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers