math
posted by Connie .
The cruising speed of a Boeing 767 in still air is 530 mph. Suppose that a 767 is cruising directly east when it encounters an 80 mph wind blowing 40 degrees south of west. Sketch the vectors for the velocities of the airplane and the wind. Express both vectors in ordered pair notation. Find the sum of the vectors. Find the magnitude and direction of the resultant vector.

first vector = (530cos0, 530sin0
= (530,0)
2nd vector = (80cos220 , 80sin 220
= (61.28355, 51.423
resultant = ((468.71644 , 51.423)
maginitude = √((468.71644^2 + (51.423)^2 )
= 471.529
direction:
tan ฿ = 51.423/468.71644 = .839..
฿ = E 40° S
Respond to this Question
Similar Questions

Physics
The wind is blowing from west to east at 35 mph and an eagle in that wind in flying at 22 mph relative to the air what is the velocity of this eagle realtive to a person standing on the ground if the eagle is flying (a) from west to … 
Precalculus
I tried doing this problem, but I still don't understand it at all... Pilot Reem Ahmad's flight plan has her leaving Dulles International Airport and flying a Boeing 727 due east at 450 mph. There is a 65 mph wind with the bearing … 
physics
What is the change in the gravitational potential energy of a Boeing 767 jet as it soars from the runway up to a cruising altitude of 10.2 km? 
Trig
A plane is flying at 240 mph heading North 60 degrees East. The wind is blowing at South 30 degrees East at 30 mph. What is the largest and smallest angles? 
algebra
A Boeing 747 flies 2420 miles with the wind. In the same amount of time, it can fly 2140 miles against the wind. The cruising speed ( in still air) is 570 mph. Find the speed of the wind. 
Math
Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using proper … 
Physics I NEED HELP BADLY
An airplane traveling east at a speed of 270 km/h encounters a wind of 75 km/h what is the resulting speed of the plane if:  The wind is blowing east.  The wind is blowing west.  The wind is blowing north. ************* CLICK ON … 
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 … 
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? 
Trig/PreCalc
A bird is flying 30 mph in a direction 30 degrees south of east. Affecting the flight of the bird is a wind blowing from the northeast to the southwest at a speed of 10 mph. What is the resulting speed of the bird?