A plane flying due north at 191 mph encounters winds that blow the plane due east at 45 mph. Determine the plane's resultant velocity. Record your answers to the nearest tenth.

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Explanation:

For these types of questions, you should draw out your triangles and resultant vectors.

For this, we can use the pythagorean theorem to solve this :

     vpf^2 = vpi^2 + vw^2

     vpf^2 = 45^2 + 191^2

     vpf =

     vpf = 196.2294

     vpf = 200 mph

Now we need to find the angle of the plane's direction using soh cah toa

     Tan(x) = O / A

              x = tan^-1(191/45)

              x = 76.74

              x = 77 degrees

Therefore, the plane's result velocity is 200 mph [ E 77 N ]

Hope this helps!

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.