Question

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? A triangle. The sides are Capitol Street, H Street, and they hypotenuse is Florida Avenue. 2. 89 miles 3. 37 miles 3. 67 miles 3. 92 miles.

Answer 1

His total run is approximately 3.37 miles.

Explanation:

Let F represents his starting point, C represents his position from where he went to east direction and H represents his position from where he went to left towards Florida Avenue.

Thus, according to the question,

FC = 0.75 miles,

CH = 1.2 miles,

By making the diagram,

∠FCH = 90°,

By Pythagoras theorem:

Hence, the total distance he covered = FC + CH + FH

= 0.75 + 1.2 + √2.0025

= 3.36509716981

≈ 3.37 miles.