anonymous one year ago Challenge! Ready? Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? http://assets.openstudy.com/updates/attachments/55ae81c9e4b0d48ca8ed889a-lollygirl217-1437500103490-as.jpg

1. anonymous

who will get it?

2. anonymous

alekos?

3. alekos

Nice try

4. anonymous

Again, I am a challenger; look at m profile for proof.

5. alekos

i already did. its a no go

6. anonymous

Whatever you say; your loss in a medal .

7. anonymous

8. alekos

good for you

9. anonymous

So sassy! I like it.

10. anonymous

anyone?

11. anonymous

welsh?

12. welshfella

one way would be to find the middle angles by applying the cosine rule to the left side triangle . Then apply it to the one on the right to find length of FG.

13. anonymous

Indeed

14. anonymous

IGNORE BELOW PICTURE

15. welshfella

why? lol

16. anonymous

because it's for another problem ;)

17. anonymous

anyways, continue

18. welshfella

oh ok!

19. welshfella

Cos x = 82^2 + 92^2 - 47^2 / (2.82.92) x = 30.66 degrees then FG^2 = 82.8^2 + 73.8^2 - 2* 82.8*73.8 cos 30.66 = 42.30

20. welshfella

FG = 42.30

21. anonymous

x=?

22. anonymous

23. anonymous

that is for the other one.

24. anonymous

good job mate!

25. welshfella

the other one is 2 similar pentagons so corresponding sides will be in the same ratio