Porter drove due East 20 miles on interstate 23, then due south 23 miles on interstate 77. To the nearest hundredth of a mile, how far was he from his starting point

The correct answer is 30 miles.

Step-by-step explanation:

Porter is driving due east to point, say B, from his initial point, say A, for about 20 miles. Therefore AB = 20 miles.

He is driving due south to point, say C, from B, for about 23 miles. Therefore BC = 23 miles.

Therefore the distance between A and C is given by the Pythagoras theorem,

⇒ AC = = = 30.479 miles ≈ 30 miles.

Therefore Porter is 30 miles away from his initial point, to the nearest hundredth of a mile.

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step-by-step explanation:

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the correct answer is b