Posted by jay on Monday, June 2, 2014 at 6:04pm.
Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristenâ€™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?
A. 4 miles; miles
B. miles; miles
C. 5 miles; 9 miles
D. 4 miles; miles

geometry  Steve, Monday, June 2, 2014 at 6:24pm
Trying to match the question with the choices sure stumps me.
Using similar triangles, if we label the vertices of the triangle P,K,F, and the library L, then we have
∆LPF ~ ∆KLP
we want the distance LP and FP, and we have
LP/2 = FP/KP
LP/8 = KP/FP
so,
LP/2 = 8/LP
LP^2 = 16
LP = 4
FP^2 = LP^2 + LF^2 = 4^2+8^2 = 80
FP = 4√5
Answer This Question
Related Questions
 Geometry  Kristen lives directly east of the park. The football field is ...
 geometry  find the geometric mean of the pair of numbers 99 and 11 kristen ...
 geometry  Kristen lives directly east of the park. The football field is ...
 Geometry  Kristen lives directly east of the park. The football field is ...
 Math Geometry  Kristen lives directly east of the park. The football field is ...
 geometry  Kristen lives directly east of the park. The football field is ...
 Geometry Help!!!  . Katrina lives directly east of the park. The football field...
 math  Katrina lives directly east of the park. The football field is directly ...
 Physics  The southwest corner of a football field is selected as the origin of ...
 math  Alfonso knows that the distance across the field from his home to Carla's...
More Related Questions