Question

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.

Answer 1

`{ c }^(2) = {5}^(2) + {4}^(2) \\ {c}^(2) = 25 + 16 \\ {c}^(2) = 41 \\ \sqrt{ {c}^(2) } = √(41) \\ c = 6.4`
The home is 6.4 miles from the library.