What is the value of x? A. 4 B. 4 squared root 3 C. 8 square root 3 D. 16

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What is the value of x? A. 4 B. 4 squared root 3 C. 8 square root 3 D. 16

Mathematics
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1 Attachment
Are you familiar with SOH CAH TOA?
nope

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Other answers:

|dw:1433302386839:dw|
ok, we have the right angle triangle with the known angle at the top
|dw:1433302458260:dw|
okkay
in relation to the angle, the sides are labelled as in the diagram
SOH stands for sin = opposite/hypotenuse
CAH stands for cos = adjacent/hypotenuse
and TOA stands for tan = opposite/adjacent
|dw:1433302662566:dw|
So what side of the triangle is the 8?
tan?
nope, its either opposite, adjacent or hypotenuse look at the diagram
hypotenuse
correct
what side is the x?
opposite
that's right. which of sin, cos, or tan feature both opposite and hypotenuse?
sin
yep
so now we have our equation
\[\sin \theta=x/8\]
theta is the angle which is 30 degrees
sin(30) = x/8
now solve for x
can you do that?
yes hold on
wait no...how do you find x?
we want to get x by itself
how would you get rid of the 8?
uhh..i dont know
what is the opposite of division
multiplication
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.
so would it be 8*8
|dw:1433303730916:dw|
240?
put your calculator in degree mode
i dont have a calculator...i have my computer one
https://www.wolframalpha.com/input/?i=8sin%2830%29
i had to step away sorry
its 4
thats right
is that the answer?
yep
thanks for tolerating my dumb self and for being so patient :)
no problem. Just curious, what grade are you in?
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
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
oohh well yep 8th grade
k, have a good night :)

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