9514 1404 393
Answer:
(b) 5.66 mi
Step-by-step explanation:
You only need to eliminate the unreasonable answers to make the correct choice.
The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.
The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.
The only reasonable choice is ...
B. 5.66 miles
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If you like, you can calculate the distance using the Pythagorean theorem.
AB² + 2² = 6²
AB = √(36 -4) = √32 ≈ 5.66 . . . miles
