Answer:
Step-by-step explanation:
so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] 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?
[tex]\sqrt{2}[/tex] / 2 = Opp / 6
6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp
3[tex]\sqrt{2}[/tex] = Opp
the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex] just leave it
there is your answer
X = 3[tex]\sqrt{2}[/tex]
