Question

What is the value of x?



A.
4

B.
4 squared root 3

C.
8 square root 3

D.
16

Answer 1

Are you familiar with SOH CAH TOA?

Answer 2

nope

Answer 3

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

Answer 4

okkay

Answer 5

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

Answer 6

SOH stands for
sin = opposite/hypotenuse

Answer 7

CAH stands for
cos = adjacent/hypotenuse

Answer 8

and TOA stands for
tan = opposite/adjacent

Answer 9

So what side of the triangle is the 8?

Answer 10

tan?

Answer 11

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

Answer 12

hypotenuse

Answer 13

correct

Answer 14

what side is the x?

Answer 15

opposite

Answer 16

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

Answer 17

sin

Answer 18

yep

Answer 19

so now we have our equation

Answer 20

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

Answer 21

theta is the angle which is 30 degrees

Answer 22

sin(30) = x/8

Answer 23

now solve for x

Answer 24

can you do that?

Answer 25

yes hold on

Answer 26

wait no...how do you find x?

Answer 27

we want to get x by itself

Answer 28

how would you get rid of the 8?

Answer 29

uhh..i dont know

Answer 30

what is the opposite of division

Answer 31

multiplication

Answer 32

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.

Answer 33

so would it be 8*8