Posted by Santha on Saturday, June 19, 2010 at 6:32pm.
I HAVE AN EXAM REVIEW QUESTION AND I REALLY NEED HELP.
An airplane has an air speed of 330km/h and is heading in a direction of N30E when it encounters a wind from the north. The resultant ground velocity has a direction of N40E. How long does it take for the plane to travel 960km.

Calculus  URGENT EXAM  Reiny, Saturday, June 19, 2010 at 7:57pm
Did you make a diagram?
My vector diagram has angles 10°, 30°, and 140° with the longest sides as 330.
so the side across the 30° represents the ground velocity of the plane, let it be x
By the sine law
x/sin30 = 330/sin140
x = 256.69
so the actual groundspeed is 269.69 km/h, then to go 960 km would take
960/269.69 hours or 3.74 hours
or 3 hours and 44 minutes and 23.5 seconds
Answer This Question
Related Questions
 calculus  Multiple choice: An airplane flying due east at 539 mph in still air...
 pre calc  The velocity of an aiplane heading east at 400 knots and a wind ...
 calculus iii  What heading (or direction) and airspeed (speed in still air) are...
 calculus III  What heading (or direction) and airspeed (speed in still air) are...
 Calculus  An airplane is heading due east with an airspeed of 220km/h when it ...
 physics  A pilot wants the heading of an airplane to be 45º east of north. The ...
 CALCULUS EXAM REVIEW  Hi, my exam is tomorrow and I'm here with my girlfriend ...
 trig  An airplane has air speed of 540 mph and a heading of 50*. The wind is ...
 math  An airplane is flying from Montreal to Vancouver. The wind is blowing ...
 physics  An aircraft is flying at the speed of 354km/hr relative to the air is ...
More Related Questions