Question

If you drive 5 miles​ south, then make a left turn and drive 12 miles​ east, how far are​ you, in a straight​ line, from your starting​ point? Use the Pythagorean Theorem to solve the problem. Use a calculator to find square​ roots, rounding to the nearest tenth as needed.

Answer 1

Answer: Hence, the distance covered in a straight line from the starting point is 13 miles.

Explanation:

Since we have given that

Distance between AB = 5 miles

Distance between BC = 12 miles

We need to find the distance covered from the starting point.

We will use "Pythagorean Theorem":

`H^2=P^2+B^2\\\\AC^2=AB^2+BC^2\\\\AC^2=5^2+12^2\\\\AC^2=25+144\\\\AC^2=169\\\\AC=√(169)\\\\AC=13\ miles`

Hence, the distance covered in a straight line from the starting point is 13 miles.