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!

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