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
Calculating Jimmy’s Distance from Home
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The correct answer is C 5 miles.
To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, forming a right triangle where:
– One side (west) = 3 miles
– The other side (north) = 4 miles
Using the formula ( c = sqrt{a^2 + b^2} ):
[
c = sqrt{3^2 + 4^2} = sqrt{9 + 16} = sqrt{25} = 5 text{ miles}
]
So, Jimmy is 5 miles away from home.