A plane leaves Seattle, flies 79.0 at 22.0 north of east, and then changes direction to 48.0 south of east. After flying at 123 in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew.
In what direction should the crew fly to go directly to the field? Use components to solve this problem.
Let x be east and y be north.
The total x displacement is
x = 79 cos 22 + 123 cos 48
The total y displacement is
y = 79 sin 22  123 sin 48
Compute these numbers. y/x will be the tangent of the angle one must go. y will be negative, and x positive, so it will be south of east by that amount
 👍
 👎
 👁
 ℹ️
 🚩
2 answers
Answer this Question
Related Questions

Physics
A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the
 asked by anonymous
 13,279 views

physics
A jet airliner moving initially at 300 mi/h due east enters a region where the wind is blowing at 100 mi/h in a direction 26.0° north of east. What is the new velocity of the aircraft relative to the ground? in m/h at degrees North of east.
 asked by Elisa
 8,826 views

science  physics
A plane flies with a velocity of 52 m/s east through a12 m/s cross wind blowing the plane south. Find the magnitude and direction (relative to due east) of the resultant velocity at which it travels.
 asked by michelle
 6,022 views

intro to physics
I was wondering if you guys can help me with this question An airplance is traveling 835 km/h in a direction 41.5 degrees west of north. part a) find the component of the velocity in the northerly direction part b) find the same but in the westerly
 asked by emilia
 2,296 views

Physcis(Please help)
A pilot flies her route in two straightline segments. The displacement vector A for the first segment has a magnitude of 254 km and a direction 30.0o north of east. The displacement vector for the second segment has a magnitude of 178 km and a direction
 asked by Hannah
 3,052 views

Physics
An airplane ﬂies at airspeed (relative to the air) of 430 km/h . The pilot wishes to ﬂy due North (relative to the ground) but there is a 43 km/h wind blowing Southwest (direction 225◦). In what direction should the pilot head the plane (measured
 asked by Daniel
 3,612 views

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.
 asked by jen
 2,152 views

Physics
A car is driven east for a distance of 46 km, then north for 29 km, and then in a direction 29° east of north for 22 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle (from east) of the car's
 asked by Michael
 3,025 views

Physics
A plane flies from base camp to lake A, a distance of 280 kilometer at a direction of 20 degree north of east .After dropping off supplies it flies to lake B, which is 190 kilometer and 30 degree west of north from lake A. Graphically determine the
 asked by Rabaere
 515 views

Physics
A jet pilot flies 100 km north to an airport, then 1400 km east to another airport, then finally 1000 km north to a third airport. a) What is the total distance covered by the plane? b) How far is the pilot from the original point of take
 asked by Adit
 365 views

math
A plane flies 540 miles for 2 hours in the direction of the wind. Then it turns around and flies 690 miles for 3 hours against the same wind. Find the speed of the plane in still air and the wind speed.
 asked by Anonymous
 1,176 views

Physics
An airplane flies at 65 m/s in the direction 149 degrees counter clockwise from east. What are the east and north components of the plane's velocity?
 asked by Kylee
 3,048 views

Physics
A hiker starts at his camp and moves the following distances while exploring his surroundings: 65.0 m north, 2.00 ✕ 102 m east, 1.10 ✕ 102 m at an angle 30.0° north of east, and 1.50 ✕ 102 m south. (a) Find his resultant displacement from camp.
 asked by Biggz
 6,222 views

Physics
A body at equilibrium is under the action of three forces. One force is 10N acting due east and one is 5N in the direction 60 degree northeast. What is the magnitude and direction of the third force?
 asked by Adigun
 2,710 views

Physics
A train moving at a constant speed of 61.0 km/h moves east for 35.0 min, then in a direction 50.0° east of due north for 10.0 min, and then west for 49.0 min. What is the average velocity of the train during this run? What is the magnitude of that
 asked by Anonymous
 435 views

Physics
An airplane flies 220 km due east, makes a rightangle, and then flies 400 km due north. Find the magnitude of the plane's displacement from it's starting point. Neglect the culrvature of the earth
 asked by Jose
 2,817 views

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 notation to
 asked by Lizzie098
 3,405 views

physics
You are traveling on an airplane. The velocity of the plane with respect to the air is 180 m/s due east. The velocity of the air with respect to the ground is 40 m/s at an angle of 30° west of due north. 1)What is the speed of the plane with respect to
 asked by aaa
 15,780 views

PhysicsASAP
A plane has an airspeed of 200 {mph}. The pilot wishes to reach a destination 600 {mi} due east, but a wind is blowing at 50 {mph} in the direction 30 degrees north of east. a)In what direction must the pilot head the plane in order to reach her
 asked by Fizza
 4,641 views

physics
On a safari, a team of naturalists sets out toward a research station located 5.54 km away in a direction 47.9 ° north of east. After traveling in a straight line for 1.29 km, they stop and discover that they have been traveling 24.6 ° north of east,
 asked by Shant
 4,543 views
Still need help?
You can ask a new question or browse existing questions.