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 4 miles from her home. The football field is 10 miles from the library.
a. How far is library from the park?
b. How far is the park from the football field?

7 miles; 12 miles
2sqrt10 miles; 2sqrt6 miles
sqrt14 miles; 2sqrt6 miles
2sqrt10 miles; 2sqrt35 miles

Answer 1

Draw a diagram where
P = park
K = Kristen's house
F is the field
L is the library

a = PL
b = PF
h is the altitude, PL

b/a = h/4
a/b = h/10

h/4 = 10/h
h^2 = 40
h = 2√10

b^2 = h^2 + 10^2 = 40 + 100 = 140
b = 2√35

Choice (D)

Answer 2

Oops a = PK

Answer 3

tduktuk

Answer 4

Thank you so much this was complicated

Answer 5

this ballin hard

Answer 6

Was this right?

Answer 7

I think it is right but I'm not sure...

Answer 8

im real confused

Answer 9

thank u

Answer 10

I'm sure its right

Answer 11

Don't come here to cheat fools

Answer 12

ok "dum guy"

Answer 13

XD

Answer 14

Let's keep the chat respectful, please. Is there anything else I can help you with today?