anonymous one year ago FAN AND MEDAL!! Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kathys 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 9 miles from her home. The football field is 12 miles from the library.

1. anonymous

1) How far is the library from the park? 2) How far is the park from the football field? A 6√ 3 miles; 6√ 7 miles B 6√ 7 miles; 6√3 miles C √ 33 miles; √ 21 miles D √ 21 miles;√33

2. anonymous
3. johnweldon1993

Sadly the picture wont load...but lets see here |dw:1432854810516:dw|

4. anonymous

okay, got that. how do you find the other sides in the smaller triangle

5. johnweldon1993

Okay so next *even though it doesnt look like a right triangle but thank you for not picking on my drawing lol Let me label the sides quick |dw:1432855222956:dw|

6. johnweldon1993

So now...notice we have 2 similar triangles |dw:1432855312068:dw| and |dw:1432855331408:dw| which again should be a right triangle

7. anonymous

ohh okay, i didn't realize they were similar

8. johnweldon1993

So lets focus on those separately |dw:1432855390314:dw|

9. johnweldon1993

Then just plug in your values you know...and you can solve for 'x' here which is the altitude which is the distance from the park to the library

10. anonymous

okay thank you!!

11. johnweldon1993

Of course :) if you need anything else just tag me back :)

12. anonymous

okay