Peter leaves his house and walks 15 m south then he turns east and walks another 15 m how far is he from his house

The answer is hes 30 m away from his house or you could say he is 15 m south and 15 m east of his house

Since he turned 90 degrees after the first segment of his walk,

the two segments together form the two legs of a right triangle.

And after the second segment, his distance from his house is

the hypotenuse of the triangle.

Hypotenuse = √ [ (one leg) ² + (the other leg) ² ]

= √ (15² + 15²)

= √ (225 + 225)

= √ 450 = 21.21 meters (rounded)