Questions: Casey travels from her house directly west to the bank and then directly north from the bank to the mall, She then travels home on the road connecting the mall and her house. What is her total distance traveled? 17 miles 37 miles 32 miles 40 miles

Casey travels from her house directly west to the bank and then directly north from the bank to the mall, She then travels home on the road connecting the mall and her house. What is her total distance traveled? 17 miles 37 miles 32 miles 40 miles
Transcript text: Casey travels from her house directly west to the bank and then directly north from the bank to the mall, She then travels home on the road connecting the mall and her house. What is her total distance traveled? 17 miles 37 miles 32 miles 40 miles
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Solution

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Solution Steps

Step 1: Find the distance from the house to the mall.

This distance is the hypotenuse of a right triangle with legs of length 8 miles and 15 miles. Using the Pythagorean theorem (a² + b² = c²), where a = 8 and b = 15, we get c = sqrt(8² + 15²) = sqrt(64 + 225) = sqrt(289) = 17 miles.

Step 2: Calculate the total distance traveled.

Casey traveled 8 miles from her house to the bank, 15 miles from the bank to the mall, and 17 miles from the mall back to her house. Therefore, the total distance traveled is 8 + 15 + 17 = 40 miles.

Final Answer

40 miles

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