# A person walked 100 meters towards north and then took a turn of 40° to his left and walked another 100 meters,what is his total displacement?

##### 2 Answers

His total displacement,

So,we can calculate the displacement as,

#### Explanation:

Using the cosine rule. Let

#b=100# # c=100#

The displacement is

The cosine rule for finding a side is

Break the formula down into sections:

So

Therefore, we know that

We now must find the square root to find what

We can round this to