A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?

• prestonshelton: Hello!
  
  You can use the Pythagorean Theorem to solve this
  
  [tex] a^{2} + b^{2} = c^{2} [/tex]
  
  c is the hypotenuse
  a and b are the legs
  
  Put in the values you know
  
  [tex] 1.5^{2} + b^{2} = 1.7^{2} [/tex]
  
  Square the numbers
  
  [tex]2.25+ b^{2} =2.89[/tex]
  
  Subtract 2.25 from both sides
  
  [tex] b^{2} =0.64[/tex]
  
  Take the square root of both sides
  
  b = 0.8
  
  The answer is 0.8km
  
  Hope this helps!