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 Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, 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?

How far is the park from the football field?

Answer 1

4√3 miles; 4√7 miles

Answer 2

not an option

Answer 3

hold on let me post them

Answer 4

I think it's A!
A. 4 miles; 4sqrt 5miles
B. 10 miles; 3sqrt 2miles
C. 5 miles ; 9 miles
D. 4miles; 3sqrt 2miles

Answer 5

This question is already discussed in this site.
http://openstudy.com/study#/updates/515a571ce4b0507ceba2b65c

Answer 6

Got it?

Answer 7

yup

Answer 8

it was right anyway i see well i hope i wont know until my teacher grades it

Answer 9

use similarity to find the values
here PL/LF = LH /PL
or PL*PL = LF *LH
or PL = sqrt(8*2)= 4

Answer 10

now we can use the Pythogarass theorem to find PF
PF^2= PL^2 + LF^2
or PF=sqrt(64+16)=sqrt(80) = sqrt(4*4*5)= 4*sqrt(5)

Answer 11

so may be A