Q:

Isaiah is jogging near his college. He runs south along Capitol Street for about 0.75 miles and east along H Street for about 1.2 miles. He then turns left and runs along Florida Avenue until he reaches his starting point. How long is his total run to the nearest hundredth of a mile?

Accepted Solution

A:
The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 milesHow to work with Pythagoras Theorem? Let F represents his starting point. Let C represent his position from where he went to east direction. Let H represent his position from where he went to left towards Florida Avenue.We are given that;FC = 0.75 milesCH = 1.2 miles∠FCH = 90°(This can be deduced from the question) By Pythagoras theorem, we have;FH = √(0.75² + 1.2²)FH = 1.42Thus;Total distance he covered = FC + CH + FHTotal distance covered = 0.75 + 1.2 + 1.42Total distance covered = 3.37 miles Read more about pythagoras theorem at;