Question

Man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 7 mi north to his place of work. If a road was made directly from his

ome to his place of work, what would its distance be to the nearest tenth of a mile?
mi
Additional Materials

Answer 1

14.7 mi

Explanation:

This can be solved with the Pythagorean Theorem. This represents a triangle where the length of a is 13, b is 7, and c is unknown.

We know that
`a^(2) + b^(2) = c^(2)`, and we can plug in what we know and use algebra to solve for c.

`13^(2) + 7^(2) = c^(2)`,

169 + 49 = c^2

218 = c^2, c^2 = 218

√c^2 = √218, or c = 14.7. The length from his home to his place of work is 14.7 mi