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. Click Here for Help Video. (1 point)David needs to walk about yards.
We can use the Pythagorean theorem to find the distance David needs to walk back to his car.
The distance he walked north is 32 yards, and the distance he walked east is 85 yards. Using the Pythagorean theorem, we have:
Distance^2 = (32 yards)^2 + (85 yards)^2
Distance^2 = 1024 yards^2 + 7225 yards^2
Distance^2 = 8249 yards^2
Taking the square root of both sides, we get:
Distance = √(8249 yards^2)
Distance ≈ 90.9 yards
Therefore, David needs to walk about 90.9 yards to get back to his car.
answer?
David needs to walk about 90.9 yards to get back to his car.
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 length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we can consider David's path as a right triangle, where the northward distance he walks is one side and the eastward distance he walks is the other side. The distance he needs to walk back to his car is the hypotenuse.
According to the problem, David walks 32 yards north and 85 yards east. We can use these values as the lengths of the sides of the right triangle.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the distance David needs to walk back):
Hypotenuse^2 = Northward distance^2 + Eastward distance^2
Hypotenuse^2 = 32^2 + 85^2
Hypotenuse^2 = 1,024 + 7,225
Hypotenuse^2 = 8,249
Taking the square root of both sides to solve for the hypotenuse:
Hypotenuse = √8,249
Hypotenuse ≈ 90.7
Therefore, David needs to walk approximately 90.7 yards back to his car. Rounding to the nearest tenth, the answer is 90.7 yards.