Jimmy ran 3 miles west from home and then turned north and jogged 4 miles. In a straight line, how far is Jimmy from home?
A 3.5 miles
B 4 miles
C 5 miles
D 7 miles
E 17 miles
Jimmy’s Jogging Distance from Home
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To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem.
1. Jimmy ran 3 miles west and then 4 miles north.
2. This forms a right triangle where one leg is 3 miles and the other leg is 4 miles.
3. We can use the Pythagorean theorem, which states: a² + b² = c², where:
– a = 3 miles
– b = 4 miles
Calculating it step by step:
– a² = 3² = 9
– b² = 4² = 16
– c² = 9 + 16 = 25
Now, find c:
– c = √25 = 5
So, Jimmy is 5 miles away from home.
The correct answer is C 5 miles.