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

d is the answer i came up with

the plateau is likely to turn into a desert do to corrosion.