Porter drove due east 20 miles on interstate 23 then due south on interstate 77 to the nearest hundredth of a mile how far was he from the starting point

30.48 miles

Step-by-step explanation:

This can be represented as a right angle triangle with sides 20 miles and 23 miles. The hypotenuse is the distance from the starting point. Pythagoras theorem states that for a right-angled triangle, the square of side of the hypotenuse is equal to the sum of squares of the other two sides. It is given by the equation:

c² = a² + b², where c is the hypotenuse and a,b are the sides

Let a = 20 miles and b = 23 miles

c² = a² + b²

c² = 20² + 23²

c² = 400 + 529

c² = 929

c = √929 = 30.48

c = 30.48 miles