Question

2 8. Mr. Smith and Mrs. Smith commute to work each morning. Mr. Smith drives 8 miles east to his office. Mrs. Smith drives 15 miles south to her office. How many miles away do Mr. and Mrs. Smith work from each other? 17 mi 18 mi 19 mi O 12 mi

Answer 1

`\begin{gathered} \text{ The distance between them is x},\text{ by pythagoras' theorem is } \\ x^2=8^2+15^2 \\ x^2=64+225 \\ x^2=289 \\ x=\sqrt[]{289} \\ x=17 \end{gathered}`

They are 17 miles away