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.

Respuesta :

Answer:

Below

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 = [tex]\sqrt{38507[/tex]

     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!