Devin drives 33 miles east and then drives 56 miles north. How far is he from his starting point?(1 point) Responses 89 miles 89 miles 65 miles 65 miles 44 miles 44 miles 115 miles
To find how far Devin is from his starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides.
In this case, Devin drove 33 miles east and 56 miles north, forming a right triangle with his starting point. We can consider the perpendicular sides of the triangle as the legs, and the diagonal line connecting Devin's ending point to his starting point as the hypotenuse.
The length of the eastward leg is 33 miles, and the length of the northward leg is 56 miles. Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
Hypotenuse^2 = Eastward leg^2 + Northward leg^2
Hypotenuse^2 = 33^2 + 56^2
Hypotenuse^2 = 1089 + 3136
Hypotenuse^2 = 4225
Hypotenuse = √4225
Hypotenuse ≈ 65
Therefore, Devin is approximately 65 miles from his starting point.