Question 295182
An athlete runs 105 m south and 80 m west. How far is he from the starting point?

after running 105 m he turns 90 deg. and runs 80 m.

80 m and 105 m for the legs of a right triangle.

the distance from starting point is the hypotenuse.

105 ^2 +80^2 = hyp ^2

11025 +6400= hyp^2

17425=hyp^2

hyp = 132 m the distance from the starting point