Question

A mouse is dropped in the maze define his way out he walks 15 m makes a 90° left turn walks 8 m makes another 90° left turn and walks 10 m what is the magnitude of the resultant vector? Then what is the direction of the resultant vector?

Answer 1

Here is a sketch of the situation.

The distance covered by the mouse is the red line and its magnitude is

`\sqrt[]{8^2+5^2}=\sqrt[]{89}\approx9.43`

The direction if the red line is

`\theta=\tan ^(-1)((8m)/(5m))`
`\theta=57.995^o`

This angle is directed to the left.