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?
Mathematics
rissemliz
Question
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?
1 Answer

1. User Answers 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!