# Kate biked 9 miles north to the park, then 4 miles west to the mall. How far is Kate from her starting point?

Jan 9, 2017

Kate is $9.85$ miles from her starting point.

#### Explanation:

Kate biked $9$ miles north to the park,

and then 4 miles west to the mall.

His movement is shown below in the figure. As the figure forms a right triangle, we can find the distance from starting point to Mall, where Kate finally reaches, using Pythagoras Theorem and it is

$\sqrt{{9}^{2} + {4}^{2}} = \sqrt{81 + 16} = \sqrt{97} \cong 9.85$ miles.
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