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Are you familiar with SOH CAH TOA?

nope

|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

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?

oohh well yep 8th grade

k, have a good night :)