Physics

posted by .

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

  • Physics -

    26.7

  • Physics -

    -0.0582

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2

    1. Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross?
  2. Math

    Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross?
  3. Please Anyone!!!

    Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross?
  4. physics

    A plane leaves Seattle, flies 77.0 mi at 22.0 degrees north of east, and then changes direction to 50.0 degrees south of east. After flying at 119 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle …
  5. Physics

    A plane leaves Seattle, flies 84.0 at 21.0 north of east, and then changes direction to 53.0 south of east. After flying at 125 in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility …
  6. physics

    A plane leaves Seattle, flies 84.0{\rm mi} at 21.0^\circ north of east, and then changes direction to 52.0^\circ south of east. After flying at 120{\rm mi} in this new direction, the pilot must make an emergency landing on a field. …
  7. physics

    A plane leaves Seattle, flies 85 mi at 22 degrees north of east, and then changes direction to 48 degrees south of east. After flying 115 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport …
  8. Physics

    A plane leaves Seattle, flies 85 mi at 22 degrees north of east, and then changes direction to 48 degrees south of east. After flying 115 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport …
  9. physics

    A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 30.0 ° north of east, his velocity with respect to the ground is in the direction 55.1 ° north of east. The speed …
  10. Physics

    A plane leaves Seattle, flies 77.0 mi at 21.0 ∘ north of east, and then changes direction to 52.0 ∘ south of east. After flying at 124 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle …

More Similar Questions