Question

Barack walks 2 kilometers south and then x kilometers east. ​ ​He ends 5 kilometers away from his starting position. ​ ​ Find x rounded to the nearest tenth of a kilometer. ​

Answer 1

4.6 km

Explanation:

-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.

#Apply Pythagorean theorem to solve:

`b^2+h^2=H^2\\\\2^2+x^2=5^2\\\\x^2=5^2-2^2=21\\\\x=√(21)\\\\x=4.58\ km`

`\approx 4.6\ km`

Hence, the distance x is 4.6 km