Math
posted by Shayne .
An airplane is going 300 mph at a bearing of N 55 degrees E. The wind is blowing 30 mph due East. What is the actual speed and direction of the plane?

V = 300mph[35o] + 30mph[0o]
X = 300*cos35+30 = 275.7 mph.
Y = 300*sin35 = 172.1 mph.
tanA = 172.1/275.7 = 0.62413
A = 32o
V = X/cosA = 275.7/cos32=325.1 mph[32o]
Respond to this Question
Similar Questions

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 … 
Geometry/trig
A plane is flying due south at a speed of 300 mph. The wind is blowing from the west at a speed of 40 mph. Find the resultant speed of the plane and the direction of the plane 
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 … 
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. 
trig
A plane is flying due south at a speed of 192 mph. a wind is blowing in at 53 degrees at 13 mph. what is the bearing of the plane? 
calculus
Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61mph 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 … 
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. 
math
An airplane travels with a speed of 145 mph in calm air. the wind is blowing with a velocity of 23 mph from N72degreesE. If the plane is headed in a direction N63W, find the magnitude of the speed and the direction of the airplane … 
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.