Devin drives 33 miles east and then drives 56 miles north. How far is he from his starting point?
115 miles
44 miles
89 miles
65 miles
To find the distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's assume the starting point is the origin (0, 0) on a coordinate plane.
Devin drives 33 miles east, so his position is now (33, 0).
Then, he drives 56 miles north, so his position is now (33, 56).
To find the distance from the starting point to his current position, we can find the length of the hypotenuse of a right triangle formed by the origin, the current position (33, 56), and a right angle at the starting point.
The distance is equal to the square root of the sum of the squares of the distances traveled in the horizontal and vertical directions.
The horizontal distance traveled is 33 miles, so the square of this distance is 33^2 = 1089.
The vertical distance traveled is 56 miles, so the square of this distance is 56^2 = 3136.
The sum of the squares of the distances traveled in the horizontal and vertical directions is 1089 + 3136 = 4225.
Therefore, the distance from the starting point is the square root of 4225, which is 65 miles.
So, the correct answer is 65 miles.