The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth.
[tex] { c }^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41 \\ \sqrt{ {c}^{2} } = \sqrt{41} \\ c = 6.4[/tex] The home is 6.4 miles from the library.