trig
posted by Frankie .
a plane is flying with airspeed of 140 mph and heading 280 degrees. The wind currents are running at 20mph at 260 degrees clockwise from due north. Find the true course and ground speed of the plane.

Vp=140mi/h @ 280 deg.,CCW. = Velocity of the plane.
Vw = 20mi/h @ 190 deg.CCW. = Velocity of the wind.
X = hor. = 140cos280 + 20cos190,
X = 24.2 + (19.7) = 4.5mi/h.
Y = ver. = 140sin280 + 20sin190,
Y = 137.87 + (3.47) = 141.34mi/h.
tanA = Y/X = 141.34/4.5 =  31.41,
A = 88.2 deg,CW = 360  88.2 = 271.8
deg, CCW. = Direction.
R = X/cosA = 4.5/cos271.8 = 141.4mi/h = Magnatude.
Respond to this Question
Similar Questions

precal
a pilot wants to fly on a bearing of 66.4 degrees. by flying due east, he finds that a 57mph wind, blowing from the south, puts him on course. Find the airspeed of the plane. Sketch this. He flys east unknown speed. The plane goes … 
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. 
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 … 
Honors Trig.
A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying? 
Physics
A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. Find the bearing of the plane. (Note that bearings are measured from north, clockwise.) Round results to appropriate … 
trig
A plane is flying with an airspeed of 150 miles per hour and heading 155°. The wind currents are running at 25 miles per hour at 160° clockwise from due north. Use vectors to find the true course and ground speed of the plane. 
precalc
1. A plane is headed at 122 degrees with an air speed of 350mph in a wind that is blowing from 38 degrees. Find the ground speed of the plane and the speed of the wind if the actual flight was at 133 degrees. 2. A plane is heading … 
physics/precalculus
3) A wind with a speed of 60 km/h is directed TOWARDS the SE. A plane, flying due NORTH has an airspeed of 280 m/s. What is the speed (in compass notation) the plane is actually travelling as seen by an air traffic controller on the … 
Trigonometry law of cosine
A plane is flying with an airspeed of 200 miles per hour and heading 150°. The wind currents are running at 30 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round … 
Math
An airplane is heading north at an airspeed of 300km/ hr, but there is a wind blowing from the northwest at 50km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?