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

- anonymous

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

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- anonymous

##### 1 Attachment

- anonymous

Are you familiar with SOH CAH TOA?

- anonymous

nope

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## More answers

- anonymous

|dw:1433302386839:dw|

- anonymous

ok, we have the right angle triangle with the known angle at the top

- anonymous

|dw:1433302458260:dw|

- anonymous

okkay

- anonymous

in relation to the angle, the sides are labelled as in the diagram

- anonymous

SOH stands for
sin = opposite/hypotenuse

- anonymous

CAH stands for
cos = adjacent/hypotenuse

- anonymous

and TOA stands for
tan = opposite/adjacent

- anonymous

|dw:1433302662566:dw|

- anonymous

So what side of the triangle is the 8?

- anonymous

tan?

- anonymous

nope, its either opposite, adjacent or hypotenuse
look at the diagram

- anonymous

hypotenuse

- anonymous

correct

- anonymous

what side is the x?

- anonymous

opposite

- anonymous

that's right.
which of sin, cos, or tan feature both opposite and hypotenuse?

- anonymous

sin

- anonymous

yep

- anonymous

so now we have our equation

- anonymous

\[\sin \theta=x/8\]

- anonymous

theta is the angle which is 30 degrees

- anonymous

sin(30) = x/8

- anonymous

now solve for x

- anonymous

can you do that?

- anonymous

yes hold on

- anonymous

wait no...how do you find x?

- anonymous

we want to get x by itself

- anonymous

how would you get rid of the 8?

- anonymous

uhh..i dont know

- anonymous

what is the opposite of division

- anonymous

multiplication

- 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

so would it be 8*8

- anonymous

|dw:1433303730916:dw|

- anonymous

240?

- anonymous

put your calculator in degree mode

- anonymous

i dont have a calculator...i have my computer one

- anonymous

https://www.wolframalpha.com/input/?i=8sin%2830%29

- anonymous

i had to step away sorry

- anonymous

its 4

- anonymous

thats right

- anonymous

is that the answer?

- anonymous

yep

- anonymous

thanks for tolerating my dumb self and for being so patient :)

- anonymous

no problem.
Just curious, what grade are you in?

- 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

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

oohh well yep 8th grade

- anonymous

k, have a good night :)

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