Problema Solution
ulia is riding her bike. One day he rides 8 miles north, then 3 miles east, then he rides 4 miles north and 2 miles east. She returns to her starting point by riding along the shortest possible direct path. To the nearest mile, what is the total distance of Julia's bike ride?
Answer provided by our tutors
draw A Cartesian coordinate system with origin the starting point of the ride of Ulia
start of the ride is: (0,0)
after 8 miles north she at the point: (0,8)
another 3 miles east she at the point: (3,8)
then he rides 4 miles north and is at the point: (3,12)
and 2 miles east: (5,12)
d the distance between the staring point and the last point is the distance between (0,0) and (5,12) thus
d^2 = (5^2 + 12^2)
d = 13 miles
click here to see the step by step solution of the equation
the total distance of the ride is 8 + 3 + 4 + 2 + 13 = 30 miles.