To get from his high school to his home, Jamal travels 5 miles east and 4 miles north.
When Sheila goes to her home from the same high school,
she travels 8 miles east and 2 miles south.
What is the measure of the shortest distance, to the nearest tenth of a mile,
between Jamal’s home and Sheila’s home?
The school is at
: - 5 - |
: - - - 8 - - - - |
Jamal travels 5 miles east and 4 miles north at arrives at his home at
Sheila travels 8 miles east and 2 miles south and arrives at her home at
We want the distance from to (the length of line segment ).
Re-draw the diagram.
4 | *
S * - - - - * *
2 | *
* - - - *
See that right triangle?
We have: .
Therefore: . miles.