To find how far David is from his car after walking north and east, we can use the Pythagorean theorem. He walks 343434 yards north and 474747 yards east. The distance \( d \) from his starting point (his car) can be calculated using the formula:
\[ d = \sqrt{(x^2 + y^2)} \]
where \( x \) is the distance walked north and \( y \) is the distance walked east.
Plugging in the values,
\[ d = \sqrt{(343434^2 + 474747^2)} \]
Calculating \( 343434^2 \):
\[ 343434^2 = 117,999,042,756 \]
Calculating \( 474747^2 \):
\[ 474747^2 = 225,999,000,009 \]
Now adding these two results:
\[ 343434^2 + 474747^2 = 117,999,042,756 + 225,999,000,009 = 343,998,042,765 \]
Next, we take the square root:
\[ d = \sqrt{343,998,042,765} \approx 586,128.071 \]
Rounding to the nearest tenth:
\[ d \approx 586128.1 \]
Therefore, the distance David is from his car is approximately \( 586128.1 \) yards.
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