Question

David runs out of gas so he gets out of his car and walks 343434 yards north and 474747 blocks yards east. How far is he from his car if he walked back in a straight line? Round your answer to the nearest tenth.

Answer 1

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.