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,
[tex]OB^2=OA^2+AB^2[/tex]
Put [tex]OA=8\,,\,AB=6[/tex]
[tex]OB^2=8^2+6^2=64+36=100[/tex]
Take square root on both sides.
[tex]OB=\sqrt{100}=10\,\,miles[/tex]
So, distance between the final point and the starting point is 10 miles
