Answer:
Justin drove 143.6 miles
Step-by-step explanation:
This forms a right-angles triangle
The distance between the grandmother and the aunty's place = 175 miles
Distance traveled by Kelsey to the grandmother's house = 100miles
Let the distance by Justin to his aunt's place = x
Using the Pythagora's theorem
![\begin{gathered} 175^2=100^2+x^2 \\ x^2=175^2-100^2 \\ x^2=20625 \\ x=\lor20625 \\ x=143.6\text{ miles} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xbo4du1vteq4twq5s9dtu8d4xsa2hcp5ri.png)
Justin drove 143.6 miles