Harry and Selma start driving from the same location. Harry drives 42 miles nort

Question

Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apart are Harry and Selma when they stop? a. 1, 764 mi b. 150 mi c. 22, 500 mi d. 20, 736 mi A community is building a square park with sides that measure 80 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite comers. Determine the approximate length the diagonal line that splits the square. If necessary, round your answer to the nearest meter.

Explanation / Answer

Let a be the distance covered by Harry

Let b be the distance covered by Selma

Then by the Pythagorean theorem, we have

Distance between Harry and Selma

= ( a2 + b2 )

= (422 + 1442)

= 22500

= 150 miles

Since the park is a square, length of each side is 80m

By Pythagorean theorem we have,

Diagonal d = (side2 + side2)

=> d = (802 + 802)

=> d = (6400+6400)

=> d = 12800

=> d = 113.14 m

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