Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
5.83 = c
To find out how far Isaiah is from his starting point, we can use the Pythagorean theorem. This theorem states that in a right-angled 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, the distance Isaiah walks due north and the distance he walks due east form the two sides of a right-angled triangle. Let's call the distance he walks due north "x" and the distance he walks due east "y".
Using the theorem, we have:
Hypotenuse^2 = x^2 + y^2
In this scenario, x = 3 miles (distance due north) and y = 5 miles (distance due east).
Plugging these values into the equation:
Hypotenuse^2 = 3^2 + 5^2
Hypotenuse^2 = 9 + 25
Hypotenuse^2 = 34
Now, let's find the square root of both sides to solve for the hypotenuse:
Hypotenuse = √34
Using a calculator, we can approximate the square root of 34 to be approximately 5.83.
Therefore, Isaiah is approximately 5.83 miles from his starting point.