To find the distance David needs to walk back to his car, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's call the length of the distance David walked north "a" and the length of the distance he walked east "b". Using the Pythagorean theorem, we can find the distance David needs to walk back to his car, which is the hypotenuse of the right triangle formed by "a" and "b".
a = 32 yards
b = 85 yards
The distance David needs to walk back is given by the square root of (a^2 + b^2):
Distance = √(32^2 + 85^2)
Distance ≈ √(1024 + 7225)
Distance ≈ √8249
Distance ≈ 90.8 yards
Therefore, David needs to walk about 90.8 yards back to his car. Rounded to the nearest tenth, David needs to walk about 90.8 yards.
David runs out of gas so he gets out of his car and walks 32 yards north and 85 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 david needs to walk about?
1 answer