Question

HELP ME PLEASE!! Thank you!!

Answer 1

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the $\sqrt{x}$ parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

$\sqrt{2}$ / 2 = Opp / 6

6 ( $\sqrt{2}$ / 2 ) = Opp

3$\sqrt{2}$  = Opp

the problem says leave it exact.. so don't try to reduce $\sqrt{2}$  just leave it

there is  your answer

X  = 3$\sqrt{2}$