Question

If you bike 8 miles south and then 6 miles east, what is the distance you are from your starting point? 10 miles 100 miles 14 miles

Answer 1

Answer:

10 miles

Step-by-step explanation:

Given: Bike goes 8 miles south and then 6 miles east

To find: distance between the final point and the starting point

Solution:

Pythagoras Theorem

In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.

In ΔOAB,

$OB^2=OA^2+AB^2$

Put $OA=8\,,\,AB=6$

$OB^2=8^2+6^2=64+36=100$

Take square root on both sides.

$OB=\sqrt{100}=10\,\,miles$

So, distance between the final point and the starting point is 10 miles

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