David runs out of gas so he gets out of his car and walks 50 yards north and 56 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 determine how far David is from his car after walking 50 yards north and 56 yards east, we can use the Pythagorean theorem. David's path forms a right triangle where:

• One side (north) is 50 yards.
• The other side (east) is 56 yards.

The distance \( d \) from his car can be calculated using the formula:

\[ d = \sqrt{(50^2) + (56^2)} \]

Calculating the squares:

\[ 50^2 = 2500 \] \[ 56^2 = 3136 \]

Adding these values together:

\[ 2500 + 3136 = 5636 \]

Now, take the square root:

\[ d = \sqrt{5636} \approx 75.1 \]

So, rounding to the nearest tenth, David is approximately 75.1 yards away from his car.