# In what direction must a plane head if it can maintain 350 km/h in still air, wishes to fly 500km in a diirection 040degree and the wind is blowing at 56km/h from 100 degree?

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1. ### Geometry

In what direction must a plane head if it can maintain 350 km/h in still air, wishes to fly 500km in a diirection 040degree and the wind is blowing at 56km/h from 100 degree? howlong would the journey take(to the nearest minutes)? how long would the return journey take, again ...
2. ### Physics

An airplane needs to fly due south. The plane can fly at a speed of 720.0 km/hr in still air. If there is a wind blowing to the northeast at 70.0 km/hr, in what direction should the plane fly to maintain its heading of due south? How long will it take to fly a 1500.0 km distance?
3. ### mastering physics

An airplane pilot wishes to fly due west. A wind of 90.0 km/h is blowing toward the south.If the airspeed of the plane (its speed in still air) is 305.0 km/h , in which direction should the pilot head?
4. ### physics

An airplane pilot wishes to fly due west. A wind of 82.0m/s is blowing toward the south.If the airspeed of the plane (its speed in still air) is 375.0 km/h, in which direction should the pilot head? What is the speed of the plane over the ground?
5. ### Physics

The piolt of an airplane wishes to fly due north, but there is a 65-km/h wind blowing toward the east. in what direction should the pilot head her plane if its speed relative to the air is 340 km/h?
6. ### physics

An airplane flies at airspeed (relative to the air) of 400km/h. The pilot wishes to fly due North (relative to the ground) but there is a 110km/h wind blowing Southwest (direction 225º clockwise from North). In what direction should the pilot head the plane (measured ...
7. ### Physics

a plane can fly at 200km/h in still air and has to reach a destination 600km north-east. a 50km/h wind blows from the west. in which direction must the plane head?
8. ### physics

An airplane pilot wishes to fly due west. A wind of 82.0 km/h is blowing toward the south. If the airspeed of the plane (its speed in still air) is 380.0 km/h, in which direction should the pilot head? This is what I did. I let theta = arcsin(82.0/380.0) theta = 12 degrees ...
9. ### Physics

An airplane pilot wishes to fly due west. A wind of 80km/hr is blowing towards the south. a) If the speed of llane in air is 320km/hr, in which direction should the pilot head? b) What is the speed of plane over the ground? (Illustrate with diagram)
10. ### algebra

With an 80 km/h head wind a plane can fly a certain distance in 4 h. Flying in the opposite direction, with the same wind blowing, it can fly that distance in one hour less. What is the plane’s speed?
11. ### Physics

An airplane flies at airspeed (relative to the air) of 250 km/h . The pilot wishes to fly due North (relative to the ground) but there is a 65 km/h wind blowing Southwest (direction 225◦ ). In what direction should the pilot head the plane (measured clockwise from North)? ...
12. ### physics

The pilot of an airplane wishes to fly due north, but there is a 71 km/h wind blowing toward the east. (a) In what direction should the pilot head her plane if its speed relative to the air is 314 km/h? ° west of north Should the angle just be the opposite of the one created ...
13. ### Physics

An airplane flies at airspeed (relative to the air) of 470 km/h . The pilot wishes to fly due North (relative to the ground) but there is a 64 km/h wind blowing Southwest (direction 225◦). In what direction should the pilot head the plane (measured clockwise from North...
14. ### physics

A pilot wants to fly west (ie., the resultant is west). If the plane has an airspeed of 9.5 m/s, and there is a 25m/s wind blowing north, in what direction must she head the plane?
15. ### physics

An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18.0 m/s northward and the air speed of the plane is 161 m/s, in what direction should the plane head to reach its destination?
16. ### Physics

An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18.0 m/s northward and the air speed of the plane is 161 m/s, in what direction should the plane head to reach its destination?
17. ### Science

An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18.0 m/s northward and the air speed of the plane is 161 m/s. In what direction should the plane head to reach its destination. So I know the direction is south east but can someone give me the...
18. ### Physics

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 245 m/s relative to the air. A weather report indicates that a 38.0 m/s wind is blowing from south to north. In what direction should the pilot head the plane relative to the ground?
19. ### science

Paul threw a paper plane towards the west. The wind however caused the plane to move in a southwestern direction Which statement best describes the direction of the wind? (A) The wind is blowing f r o m the east. (B )The wind is blowing f r o m the west. (C) The w ind is ...
20. ### physics

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 226 m/s relative to the air. A weather report indicates that a 32.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot ...
21. ### Physics

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 255 m/s relative to the air. A weather report indicates that a 39.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot ...
22. ### College Math

Im having a hard time trying to figure out how to do this problem: A plane can fly 150 mph in calm air. Flying with the wind, the plane can fly 350 mi in the same amount of time it takes to fly 250 mi against the wind. Find the rate of the wind.
23. ### physics

a bird can fly in still air at 20 miles per hour. when the wind is blowing straight from the north at 10 miles/hr. in what direction must the bird aim in order that it may fly from east to west and at what speed will it have?
24. ### Physics

An airplane whose air speed is 620km/h is supposed to fly in a straight path 35 degrees north of east. A steady 95km/h wind is blowing from the north. In what direction (angle) should the plane head?
25. ### physics

18)An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18.0 m/s northward and the air speed of the plane is 161 m/s, in what direction should the plane head to reach its destination? 6.42 degrees south of east 19)A 4400 kg can accelerate from 0-...
26. ### algebra

A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hours. What is the ...
27. ### math

r the thrust of aiplane's engine produces a speed of 350 mph in still air . the plane is aimed in the direction of <6,-3,2> but its velocity with respect to the ground is <320,-140,125> mph .find the wind velocity .explain whether this is a tail wind or head wind .
28. ### calc 3

The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction ...
29. ### Science

An airplane's speed in still air is 240 km/h. (a) If the pilot wishes the resultant motion of the plane to be due north when a 60 km/h wind is blowing the plane due east, in what direction should the plane be headed? (b) What will then be the resultant speed of the airplane ...
30. ### South America

an aeroplane flies horizontally at 80m/s in still air if the aviator wishes to fly due south and the wind is blowing from the south-east at 30m/s 1.what course must he steer 2.how long will it take him to arrive at his destination 200km away
31. ### PHYSICS HELP

A pilot wants to fly a plane east at a velocity of 400.0 km/hr with respect to the ground. A 50.0 km/hr wind is blowing southward. With respect to the air, what velocity must the pilot maintain?
32. ### Physics

An airplane moves at 300 mi/hr relative to the air. It must fly from city A to city B, 600 miles due east. One day the wind is blowing at 100 mi/hr in a direction of 30 degrees north of east. Draw a diagram. b. What will the velocity of the plane relative to the ground (value ...
33. ### physics

A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 11{\rm m/s} . A wise elder duck finally realizes that the solution is to fly at an angle to the wind.If the ducks can fly at 17{\rm m/s} relative...
34. ### Calculus

An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane’s air speed is 375 km/h, what direction must the pilot fly to make it to Toronto? What on earth ...
35. ### 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 with reference to the ground. In what ...
36. ### Physics

A flock of geese is attempting to migrate due south, but the wind is blowing from the west at 5.4 m/s . If the birds can fly at 7.9 m/s relative to the air, what direction should they head?
37. ### 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 clockwise ...
38. ### Calc.

An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane’s air speed is 375 km/h, what direction must the pilot fly to make it to Toronto? How do I draw ...
39. ### Physics

A pilot flies a plane at a speed of 600 km/h with respect to the surrounding air. A wind is blowing to the northeast at a speed of 100 km/h. In what direction must the plane be aimed so that the resulting direction of the plane is due north?
40. ### engineering science

An aeroplane can fly at 250 km/h in still air.How long will it take it to reach a plane 500 km to south-east if a wind is blowing at 80 km/h from west?
41. ### Math

Exercise 30: Velocities have both direction and magnitude and thus are vectors. The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45◦W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45...
42. ### physics

A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 6.0m/s. A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 8.0m/s relative to the ...
43. ### Math

A plane can fly 140 mph in calm air. Flying with the wind, the plane can fly 700 mi in the same amount of time it takes to fly 420 mi against the wind. Whats the rate of the wind?
44. ### Algebra

A plane can fly 500 miles against the wind in the same amount of time that it can fly 775 miles with the wind. If the wind speed is 55mph, find the speed of the plane in still air.
45. ### physics

The pilot of an aircraft wishes to fly due west in a 46.8 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 204 km/h. (a) In what direction should the aircraft head? ° north of west (b) What should its speed relative to the ground be? km/h
46. ### calculus III

What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
47. ### calculus iii

What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
48. ### Physics

A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip in 1/2 h. An 80km/h wind blows in a direction 30degrees E of S. Find the speed of the plane relative to air. I found the speed of the plane ...
49. ### Algebra 2

A single engine aircraft can fly 120 mph in still air. If the aircraft can fly 490 miles flying with the wind in the same amount time it can fly 350 miles when flying against the wind, what is the speed of the wind? I can't figure out how to set up the equation.
50. ### Math

Suppose that a wind is blowing in the direction S45°E at a speed of 50 km/h. A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 150 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors ...
51. ### math

A pilot can fly an MD-11 2160 miles with the wind in the same time she can fly 1920 miles against the wind. If the speed of the wind is 30 mph, find the speed of the plane in still air.( Source: Air Transport Association of America)
52. ### Physics 11

An airplane flies at 500km/hr, there is a wind kf 50.0km/h(N).if the pilot wants to fly due east, calculate the direction that the plane is heading. Thanks.
53. ### maths

An aircraft travels at 250km/h in still air. If a wind of 50km/h blows steadily from the southwest and the pilot wishes to fly due north, find the course he must set and the ground speed of the aircraft. On the return journey the wind speed and direction are unaltered. Find ...
54. ### Physics-ASAP

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 destination? answer in south of...
55. ### Physics

The air speed indicator of a plane that took off from Detroit reads 373 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 42.3 km/h. Calculate the speed of the plane with reference to the ground. If the pilot wishes to ...
56. ### Physics

The air speed indicator of a plane that took off from Detroit reads 349 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 46.5 km/h. a) Calculate the speed of the plane with reference to the ground. b) If the pilot ...
57. ### Physics

A plane wants to fly east. It is capable of flying at 250 m/s, yet a 50 m/s wind is blowing [SW]. What heading must the plane set and what will be the plane's speed relative to the ground?
58. ### 8th Algebra

1) An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air.
59. ### Physics

An airliner is at point A and is trying to fly to point B, which is 1000 km due North of point A. The pilot of the airliner wishes to reach point B in 2.5 hr. A wind is blowing from the Northwest (45 degrees) at 100 km/hr. In what direction and at what speed must the pilot fly...
60. ### 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 at 20 degrees at 300mph If a wind is blowing ...
61. ### Physics

2 Dimensional Motion-Kinematics QS 1: An airplane wishes to travel 800 km northeast of a starting point. There is a wind blow towards the east at 100km/h. Assuming the maximum speed of the plane in still air is 500km/h, a: what course should the pilot steer to arrive in ...
62. ### Maths

please help me answer this question: A pilot sets to fly from B to A and wishes to set a course to offset a 32 km/h easterly wind.The aircraft can fly at the speed of 800km/h in still air. A is 256 from B in a bearing of 330 degrees. a)on what course must the aircraft be set? ...
63. ### physics

A bird wants to rech its nest that is located 53 meters (35 degrees south of west) from where it is perched. If the maximum speed that the bird can fly with respect to the air is 12m/s and there is a wind blowing from a direction of east 35 degrees south at a speed of 8.1 ...
64. ### physics

a plane needs to fly at 40 degrees n of e when flying through a wind that blows 80 mph @ 70 degrees S of E. If the plane goes 320 mph in still air in what direction should the plane aim?
65. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane...
66. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane...
67. ### math

An airplane can fly 625 miles with the wind in the same amount of time as it can fly 425 miles against the wind. If the wind speed is 50 mph, find the speed of the plane in still air. (Round your answer to the nearest whole number.)
68. ### Algebra

With a tail wind, a light plane can fly 720 km in 2h. Going against the wind, the plane can fly the same distance in 3 h. What are the wind speed and the air speed of the plane?
69. ### Physics

A pilot must fly his plane to a town which is 200 km from his starting point in a direction 30 degrees N of E. He must make the trip in 1/2 hr. An 80km/h wind blows in a direction 30 degrees E of S. Find the speed of the plane relative to the ground, the speed relative to air ...
70. ### Physics

Can someone explain to me how I'd draw this problem and what the resultant vector should be as well as the placements of the angles if possible? A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip ...
71. ### Gr. 12 Physics

A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip in 1/2 h. An 80km/h wind blows in a direction 30degrees E of S. Find the speed of the plane relative to air. I found the speed of the plane ...
72. ### Physics

The pilot of an aircraft wishes to fly due west in a 50.0 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 228 km/h. a) How many degrees from west should the aircraft head? Let clockwise be positive. Answer in units of degrees. b) What ...
73. ### Physics

A small aircraft has a flying speed of 200 km/h in still air. To make a trip from Saskatoon to Regina, a straight line distance on the map of 250 km, a pilot must first determine the wind velocity and then calculate what direction to fly (the 'heading') to compensate for the ...
74. ### Physics

A bird wants to rech its nest that is located 53 meters (35 degrees south of west) from where it is perched. If the maximum speed that the bird can fly with respect to the air is 12m/s and there is a wind blowing from a direction of east 35 degrees south at a speed of 8.1 ...
75. ### science

a plane is flying due east in still air at 395km/h suddenly the plane is hit by wind blowing at 55km/h toward the west. what is the resultant of the plane?
76. ### math

When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and the speed of the wind.
77. ### physics

The pilot of an aircraft wishes to fly due west in a 50.0 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 228 km/h. a) How many degrees from west should the aircraft head? Let clockwise be positive. Answer in units of degrees. b) What ...
78. ### Physics

An aircraft has a cruising speed of 100 m/s On a particular day, a wind is blowing from the west at 75.0 m/s If the plane is pointed due north, what would be the magnitude and direction of the velocity relative to the ground? If the pilot wishes to have a resultant direction ...
79. ### trig

An airplane pilot wishes to maintain a true course in the direction 250° with a ground speed of 400 mi/hr when the wind is blowing directly north at 60 mi/hr. Approximate the required airspeed and compass heading
80. ### Trig

a pilot wishes to fly on a course bearing 45 and with a ground speed of 600 km per hour. If a wind is blowing from the southwest (bearing 315) at 80 km per hour. What must be the heading and air speed of the aircraft?
81. ### Algebra 1B

it took a small plane 3 hours more to fly 475 miles against the wind than it took the same plane to fly the same distance with the wind. the rate of the wind was 15 mph find the rate of the plane in calm air
82. ### trig

Find the bearing and airspeed for a plane to fly 630 miles due north in 3 hours if the wind is blowing from a direction of 318* and is blowing at 15mph. Approximate the bearing to the nearest degree and the speed to the nearest mile per hour.
83. ### Algebra 2

An airplane flies 1050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. Find the speed of the wind.
84. ### algebra

A plane can fly a certain distance in 6 hours with the wind, but can return only three-fourths the distance in the same time. If the speed of the plane in still air is 200 km per hour, find the velocity of the wind.
85. ### 8th Grade Algebra

I don't know how to do these types of problems whatsoever. 1) It takes a small jet plane 4 hours less time than it takes a propeller-driven plane to travel from Glen Rock to Oakville. The jet plane averages 637 km/h while the propeller plane averages 273 km/h. How far is it ...
86. ### physics

It says, A plane travels 400 mi/h relative to the ground. There is a 25 mi/h wind blowing from the west to the east. Find the plane's resultant velocity as it: a. travels west: b. travels east: c. travels north: d. The plane's final destination is 1250 miles north. If the ...
87. ### math

It took a small plan 1 hour longer to fly 480 miles against the wind than it took the plane to fly the same distance with the wind. If the wind speed was 20 mph, then what is the speed of the plane in calm air?
88. ### Math

A plane that can fly 275 mph in still air for 3 hours against a wind and for 2 hours with the same wind. The total distance it covers is 1300 miles. Find the rate of the wind.
89. ### Physic Please Help

A pilot direct his plane north and the plane's velocity in still air is 245km/hr. If there is a strong wind of 105km/hr blowing west, what is the ground velocity of the plane?
90. ### algebra II

An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 276 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air. The wind soeed was ______ mph.
91. ### Physics

A small airplane has a speech of 200km/h with respect to the air. There is strong wind blowing at 77km/h at 23 north of east with respect to the Earth . A) in which direction should the plane head in order to land at an airport due north of its present location?B) what would ...
92. ### repost math question

An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 276 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air. The wind soeed was ______ mph.
93. ### Physics ...... Science

A small airplane has a speech of 200km/h with respect to the air. There is strong wind blowing at 77km/h at 23 north of east with respect to the Earth . A) in which direction should the plane head in order to land at an airport due north of its present location?B) what would ...
94. ### Math

An aircraft flew 3hrs with the wind. The return trip took 4hrs against the wind. If the speed of the plane in still air is 180mph more than the speed of the wind, find the wind speed and the speed of the plane in still air.
95. ### Physics

a pilot must fly a destination 520 km away in a direction of N30 degree E. The air speed of the plane is 320Km and the wind speed is 85 km/h E20 degree Suth. Find the heading of the plane and the time for the trop.
96. ### physics

The pilot of an aircraft wishes to fly due west in a 42.7 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 204 km/h.
97. ### physics

An aircraft in straight and level flight is in a state of horizontal equilibrium. It is flying 120 km/hr in the direction 110* and not correcting for wind. The wind is blowing at 60 km/hr in the direction 340*. Determine the speed and direction the aircraft will actually fly.
98. ### PHYSICS

PLAN A 4 HR FLIGHT (TELL ME SPEED AND DIRECTION SETTINGS FOR THE PLANE) TO FLY FROM CHICOGO TO ATLANTA(1500 KM @ 30 DEGREES E OF S) ON A DAY WHEN THE WIND IS BLOWING 100 KM/HR DUE EAST
99. ### 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 represent each direction of ...
100. ### calculus

A small airplane has an air speed of The pilot wishes to fly to a destination that is 480 km due west from the plane’s present location. There is a wind from the south.