Question

Kristen lives directly east of the park. the football field is directly south of the park. the library sits on the line formed between kristens home and the football the park and the football field could be drawn. the library is 2 miles from her home. the football field is 8 miles from the library.

how far is library from the park?

Answer 1

The answer would be four miles

Answer 2

Answer: Library is 4 miles away from the park.

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

`√(FL.LK)\\\\=√(2* 8)\\\\=√(16)\\\\=4\ miles`

Hence, Library is 4 miles away from the park.