*PLEASE HELP* An airplane flying parallel to the ground undergoes two consecutive dis-
placements. The first is 75 km 30.0° west of north, and the second is
155 km 60.0° east of north. What is the total displacement of the
airplane?

9514 1404 393

  172.19 km, N 34.18° E

Explanation:

The turn made at the end of the first leg is 90°, so the total displacement can be found using the Pythagorean theorem.

  d = √(75^2 +155^2) = √29650

  d ≈ 172.19 . . . km

The direction can be found from the angle between the initial leg and the end point. That angle is ...

  α = arctan(155/75) ≈ 64.18°

Then the direction from the starting position to the final position is ...

  -30° +64.18° = 34.18° . . . . east of north

The total displacement of the airplane is ...

  172.19 km, N 34.18° E

an electric circuit

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.