Answer: Library is 4 miles away from the park.
Step-by-step explanation:
Since we have given that
Let P be the park.
Let F be the football field.
Let H be the Kristen's home.
Since Kristen's home is east of the park and the football field is south of the park.
So, it becomes a right angled triangle PFK.
FL = 8 miles
LK = 2 miles
Since PL is the altitude on the hypotenuse FK.
So, Length of PL i.e distance between library and park is given by

Hence, Library is 4 miles away from the park.