To find out how far David is from his car after walking 17 yards north and 45 yards east, we can use the Pythagorean theorem. The distances he walked represent the two legs of a right triangle, where:
- One leg (north) = 17 yards
- The other leg (east) = 45 yards
According to the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
where \( c \) is the distance from his car, \( a \) is 17 yards, and \( b \) is 45 yards.
Now we can calculate it:
\[ c = \sqrt{(17)^2 + (45)^2} \] \[ c = \sqrt{289 + 2025} \] \[ c = \sqrt{2314} \]
Calculating the square root:
\[ c \approx 48.1 \]
Rounding to the nearest tenth, David is approximately 48.1 yards from his car.
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