anonymous
  • anonymous
The image shows a portion of a bridge supported by vertical pillars from the slope below. What is the length of the bridge between pillar B and pillar C?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
Use pythagoras theorem for this question, both of em are similar triangles
anonymous
  • anonymous
I honestly do not know how to.

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anonymous
  • anonymous
i cant really help you the image is really fuzzy
anonymous
  • anonymous
and i dont run csi enhancer
anonymous
  • anonymous
do you know how to do the process you were talking about ? could you explain to me how to ?
anonymous
  • anonymous
ok lets start by finding this angle|dw:1438434416019:dw|
anonymous
  • anonymous
29 feet 48 feet 56 feet 60 feet those are my options btw. And alright.
anonymous
  • anonymous
\[\cos^{-1} (\frac{ 40 }{ 50 }) is the \angle\]
anonymous
  • anonymous
cos^1 (40/50) is the angle
anonymous
  • anonymous
im really confused.
anonymous
  • anonymous
|dw:1438434482105:dw|
anonymous
  • anonymous
okay from a to b on the top is 40 feet, bottom is 50 feet. and b to c on bottom is 70 feet, does that help ?
anonymous
  • anonymous
\[\frac{ 50 }{ 120 } = \frac{ 40 }{ 40+x }\]
anonymous
  • anonymous
now you can solve for x
anonymous
  • anonymous
you can do that i hope
anonymous
  • anonymous
i got 80 .. i feel like im wrong ... I havent had a math class since my freshman year in high school, and this is my senior year, and i just honestly dont have any idea what im doing ... i feel really stupid right now.
anonymous
  • anonymous
lemme try solving\[\frac{ 50 }{ 120 } = \frac{ 40 }{ 40+x }\]\[50 = \frac{ 4800 }{ 40+x }\]\[50(40+x)=4800\]\[2000+50x=4800\]\[50x=2800\]\[x=56\]
anonymous
  • anonymous
thank you ... But can i ask how you did that process ? if its too much to explain thats fine.
anonymous
  • anonymous
alright you just cross multiple the denominator to each sides to cancel them out (the 1st 2 lines).
anonymous
  • anonymous
cause fractions are messy. then you move the constant to one side of the equation (3rd line), by minus-ing the constant (2000) from both sides.
anonymous
  • anonymous
thats how we end up with 50x=2800
anonymous
  • anonymous
This whole thing confuses me. I literally feel dumb. I don't understand any of this.
anonymous
  • anonymous
which part you do not understand?
anonymous
  • anonymous
All of it... I don't even have a teacher, like i have to teach myself all of this stuff. Im probably wasting your time honestly, I cant comprehend this kind of stuff.
anonymous
  • anonymous
ok ill write it in simpler form
anonymous
  • anonymous
You don't have to do that..
anonymous
  • anonymous
you gotta know how we come out with that first....
anonymous
  • anonymous
otherwise you will keep getting stuck
anonymous
  • anonymous
I just dont want to waste your time. And i don't think ill ever understand this.
anonymous
  • anonymous
well just take it easy, 1 thing at a time
anonymous
  • anonymous
okay..
anonymous
  • anonymous
ill explain to you how the\[\frac{ 50 }{ 120 } = \frac{ 40 }{ 40+x }\] is made first
anonymous
  • anonymous
the triangle in the diagram is a similar triangle, therefore they are proportional to each other|dw:1438436528358:dw|
anonymous
  • anonymous
okay
anonymous
  • anonymous
50+70 is how we got the 120., and we take the ratio of the smaller triangle to the larger one
anonymous
  • anonymous
ratio ?
anonymous
  • anonymous
yea the fraction you saw 50/120 is the ratio
anonymous
  • anonymous
okay.
anonymous
  • anonymous
now the other side of the triangle is 40 on small side and 40+x on larger side
anonymous
  • anonymous
they have to be proportional because they are co-linear so the ratio (that fraction) must be equal
anonymous
  • anonymous
okay.
anonymous
  • anonymous
you can understand that?
anonymous
  • anonymous
i think.
anonymous
  • anonymous
lemme try draw something to show you what i mean|dw:1438437049240:dw|
anonymous
  • anonymous
okay
anonymous
  • anonymous
like this in case the ratio of the triangle is 1:2 or 1/2
anonymous
  • anonymous
its similar as the question you had but the proportion is not so straightforward
anonymous
  • anonymous
so we use the ratio to find the distance of 40+x, with the ratio of the 50/120
anonymous
  • anonymous
I have to go. Can we finish this later ?
anonymous
  • anonymous
sure and see ya!
anonymous
  • anonymous
okay , thank you. i gave you a medal.
anonymous
  • anonymous
thank you
anonymous
  • anonymous
no problem.

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