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
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OpenStudy (anonymous):
who will get it?
OpenStudy (anonymous):
alekos?
OpenStudy (alekos):
Nice try
OpenStudy (anonymous):
Again, I am a challenger; look at m profile for proof.
OpenStudy (alekos):
i already did. its a no go
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OpenStudy (anonymous):
Whatever you say; your loss in a medal .
OpenStudy (anonymous):
I already know the answer
OpenStudy (alekos):
good for you
OpenStudy (anonymous):
So sassy! I like it.
OpenStudy (anonymous):
anyone?
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OpenStudy (anonymous):
welsh?
OpenStudy (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.
OpenStudy (anonymous):
Indeed
OpenStudy (anonymous):
IGNORE BELOW PICTURE
OpenStudy (welshfella):
why? lol
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OpenStudy (anonymous):
because it's for another problem ;)
OpenStudy (anonymous):
anyways, continue
OpenStudy (welshfella):
oh ok!
OpenStudy (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
OpenStudy (welshfella):
FG = 42.30
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OpenStudy (anonymous):
x=?
OpenStudy (anonymous):
ooh my bad
OpenStudy (anonymous):
that is for the other one.
OpenStudy (anonymous):
good job mate!
OpenStudy (welshfella):
the other one is 2 similar pentagons
so corresponding sides will be in the same ratio