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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
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ElectricProgramer

Answer:

14.7 mi

Step-by-step 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 [tex]a^{2} + b^{2} = c^{2}[/tex], and we can plug in what we know and use algebra to solve for c.

[tex]13^{2} + 7^{2} = c^{2}[/tex],

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

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