Respuesta :

Answer:

Is this for a Trig class?  just wondering

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we want to find the Hypotenuse (Hyp)  and are given an angle and the adjacent side (adj)  sooo use  CAH  , b/c it has all of the pieces

Cos(37) = Adj / Hyp

Cos(37) = 11 / Hyp

swap  Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra

Hyp = 11 / Cos(37)

now solve with your handy TI 83 / 84 / 89   calculator :)  if you don't have one go get one . :D get the 89 if  you are going into engineering classes...  the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )

Hyp = 13.77349...

Hyp = 13.8 ( rounded to nearest 10th )  :)