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n the figure below, the length of line segment CB is 58 units and the length of line segment BG is 120 units. What is the length of line segment GE?
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0404_07/image0084e2ee688.gif
62√3
116
58√2
124
*I think the answer is C?*
 one year ago
 one year ago
n the figure below, the length of line segment CB is 58 units and the length of line segment BG is 120 units. What is the length of line segment GE? http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0404_07/image0084e2ee688.gif 62√3 116 58√2 124 *I think the answer is C?*
 one year ago
 one year ago

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Pac1f1cIslanderBest ResponseYou've already chosen the best response.0
I would think B...
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
look at the first triangle ABC  notice it is a rightangled triangle and one of the angles is 45, so what would the other angle be?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
correct  so that implies it is also isoceles
 one year ago

Pac1f1cIslanderBest ResponseYou've already chosen the best response.0
Oh, they're both special triangles...one is 454590, the other is 306090
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
now use the fact that:\[\cos(60)=0.5\]to work out AE
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
sorry  use the fact that:\[\tan(60)=\sqrt(3)\]to work out GE
 one year ago

rebeccaskell94Best ResponseYou've already chosen the best response.0
Well, I'm not really sure how to do that. Sorry, I'm dumb when it comes to math. :/
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
are you familiar with trigonometry (sin/cos/tan)?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
if not, then this might help you: http://www.mathsisfun.com/algebra/trigfourquadrants.html
 one year ago

rebeccaskell94Best ResponseYou've already chosen the best response.0
Vaguely, yes. I took geometry 3 years ago and got a B+ and A but I don't remember most of it :/ I'm trying desperately to help a friend but some of this stuff I just don't remember. I know that tan = opposite ÷ adjacent cos= adjacent ÷ hypotenuse sin= opposite ÷ hypotenuse If I remember those correctly. I'm personally, currently in AlgII :/
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
good, so look at triangle AEG and note that:\[\tan(60)=\frac{GE}{AG}=\frac{GE}{62}\]
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
which implies:\[GE=62\times\tan(60)\]
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
does that make sense?
 one year ago

rebeccaskell94Best ResponseYou've already chosen the best response.0
Ah! Yes. I think so. I had to figure out where the 62 came from again xD
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
good, now some angles have /well known/ values for sin/cos/tan
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
60 is one such angle where: \(\tan(60)=\sqrt{3}\)
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
can you work it out now?
 one year ago

rebeccaskell94Best ResponseYou've already chosen the best response.0
Let me try, and then I'll post it :D
 one year ago

rebeccaskell94Best ResponseYou've already chosen the best response.0
107.26 is 62*1.73
 one year ago

asnaseerBest ResponseYou've already chosen the best response.3
roughly yes  you should leave it in terms of the radical, so the answer is \(62\sqrt{3}\)
 one year ago
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