Question

On a weekend trip around California, Sydney left her home in Modesto and drive 75 miles east to Yosemite National Park, then 70 miles south to Fresno, and finally 110 miles west to Monterey Bay. About how far is she from her starting point?

Answer 1

75 mi. East, 70 mi. South, 110 mi.West.
Overall, she drove 110-75= 35 mi. West since east & west are opposite directions.
And 70 mi. South.
In a Pythagorean theorem problem, legs are 35 & 70. And hypotenuse is her diagonal distance from where she started
35^2 + 70^2 = c^2
1225 + 4900 = c^2
6125 = c^2
78.3=c