anonymous
  • anonymous
What is the value of x? A. 4 B. 4 squared root 3 C. 8 square root 3 D. 16
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
Are you familiar with SOH CAH TOA?
anonymous
  • anonymous
nope

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anonymous
  • anonymous
|dw:1433302386839:dw|
anonymous
  • anonymous
ok, we have the right angle triangle with the known angle at the top
anonymous
  • anonymous
|dw:1433302458260:dw|
anonymous
  • anonymous
okkay
anonymous
  • anonymous
in relation to the angle, the sides are labelled as in the diagram
anonymous
  • anonymous
SOH stands for sin = opposite/hypotenuse
anonymous
  • anonymous
CAH stands for cos = adjacent/hypotenuse
anonymous
  • anonymous
and TOA stands for tan = opposite/adjacent
anonymous
  • anonymous
|dw:1433302662566:dw|
anonymous
  • anonymous
So what side of the triangle is the 8?
anonymous
  • anonymous
tan?
anonymous
  • anonymous
nope, its either opposite, adjacent or hypotenuse look at the diagram
anonymous
  • anonymous
hypotenuse
anonymous
  • anonymous
correct
anonymous
  • anonymous
what side is the x?
anonymous
  • anonymous
opposite
anonymous
  • anonymous
that's right. which of sin, cos, or tan feature both opposite and hypotenuse?
anonymous
  • anonymous
sin
anonymous
  • anonymous
yep
anonymous
  • anonymous
so now we have our equation
anonymous
  • anonymous
\[\sin \theta=x/8\]
anonymous
  • anonymous
theta is the angle which is 30 degrees
anonymous
  • anonymous
sin(30) = x/8
anonymous
  • anonymous
now solve for x
anonymous
  • anonymous
can you do that?
anonymous
  • anonymous
yes hold on
anonymous
  • anonymous
wait no...how do you find x?
anonymous
  • anonymous
we want to get x by itself
anonymous
  • anonymous
how would you get rid of the 8?
anonymous
  • anonymous
uhh..i dont know
anonymous
  • anonymous
what is the opposite of division
anonymous
  • anonymous
multiplication
anonymous
  • anonymous
correct. So you can think of the x/8 as x divided by 8. To undo this just multiply both sides of the equation by 8.
anonymous
  • anonymous
so would it be 8*8
anonymous
  • anonymous
|dw:1433303730916:dw|
anonymous
  • anonymous
240?
anonymous
  • anonymous
put your calculator in degree mode
anonymous
  • anonymous
i dont have a calculator...i have my computer one
anonymous
  • anonymous
https://www.wolframalpha.com/input/?i=8sin%2830%29
anonymous
  • anonymous
i had to step away sorry
anonymous
  • anonymous
its 4
anonymous
  • anonymous
thats right
anonymous
  • anonymous
is that the answer?
anonymous
  • anonymous
yep
anonymous
  • anonymous
thanks for tolerating my dumb self and for being so patient :)
anonymous
  • anonymous
no problem. Just curious, what grade are you in?
anonymous
  • anonymous
8th yes im dumb and very slow when it comes to math but im very good in reading and writing so dont think im all the way dumb lol
anonymous
  • anonymous
lol I wasn't implying that at all, I just haven't done this stuff in a while and was wondering when they teach this stuff
anonymous
  • anonymous
oohh well yep 8th grade
anonymous
  • anonymous
k, have a good night :)

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