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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
Any ideas?
OpenStudy (anonymous):
no ):
jimthompson5910 (jim_thompson5910):
That's ok
jimthompson5910 (jim_thompson5910):
We're given an angle and a known adjacent side. We want to find the opposite side.
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jimthompson5910 (jim_thompson5910):
What trig function uses the opposite and adjacent side?
OpenStudy (anonymous):
tan
jimthompson5910 (jim_thompson5910):
good, so tan(angle) = opposite/adjacent
jimthompson5910 (jim_thompson5910):
Since the angle is 55 degrees and the adjacent side is 20, we can say
tan(55) = x/20
where x is the unknown height (which is the opposite side)
jimthompson5910 (jim_thompson5910):
Our goal now is to solve for x
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OpenStudy (anonymous):
would the answer be B
jimthompson5910 (jim_thompson5910):
no, how would you isolate x?
jimthompson5910 (jim_thompson5910):
in the equation tan(55) = x/20
OpenStudy (anonymous):
yes i know that but then what sorry but i dont know this stuff
jimthompson5910 (jim_thompson5910):
You're dividing x by 20. So you undo this, you're going to multiply both sides by 20. What do you get when you do this?
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OpenStudy (anonymous):
1100
jimthompson5910 (jim_thompson5910):
Ah i see what you did, well you don't mix the stuff on the outside of tangent with the stuff on the inside of tangent.
All you need to do is go from
tan(55) = x/20
to
20*tan(55) = x
Then flip the equation to get
x = 20*tan(55)
jimthompson5910 (jim_thompson5910):
So the answer is actually choice A
jimthompson5910 (jim_thompson5910):
and I got this answer by multiplying both sides by 20 to isolate x (but I can't multiply the 20 and 55)