What is the magnite of the net displacement of the mouse?

Complete Question

A field mouse trying to escape a hawk runs east for 5.0m, darts southeast for 3.0m, then drops 1.0m down a hole into its burrow. What is the magnitude of the net displacement of the mouse?

The  values is  

Explanation:

From the question we are told that

   The  distance it travels eastward is  

   The distance it travel towards the southeast  is

   The distance it travel towards the south is  

Let x-axis  be east

      y-axis  south

       z-axis into the ground

The angle made between east and south is  

The displacement toward x-axis is

 The  displacement toward the y-axis is  

Now the overall displacement of the rat is mathematically evaluated as

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

the answer would be c