A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
1 answer:
Answer:
14.9 miles
Step-by-step explanation:
If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.
We can use the pythagorean theorem to find the length of the hypotenuse , or the new road:
a² + b² = c²
14² + 5² = c²
221 = c²
14.9 = c
= 14.9 miles
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