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?

Answer 1

Hello!

You can use the Pythagorean Theorem to solve this


`a^(2) + b^(2) = c^(2)`

c is the hypotenuse
a and b are the legs

Put in the values you know


`1.5^(2) + b^(2) = 1.7^(2)`

Square the numbers


`2.25+ b^(2) =2.89`

Subtract 2.25 from both sides


`b^(2) =0.64`

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!