Question

Please help !!!!!!!!!

Answer 1

Answer:

A= 41°   a=9.84...  b=11.32...

Step-by-step explanation:

given B = 49° and C = 90°

and A + B + C = 180

so  49+90+A=180

A= 41°

we also know c (small)  is 15 units

and maybe you know this  SOH CAH TOA?   no, i'm not calling anyone names :P  this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp   Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.

use Cos(49) to find the side a

a is an adjacent side to the 49 angle.  We know the Cos and we know the Hyp .. so solve for adj...  

Cos(Ф)=Adj/ Hyp

Hyp*Cos(Ф)=Adj    

15*Cos(49)= Adj

9.84...=Adj=a

now lets' use sin for the opposite side or b

sin(Ф)=Opp/Hyp

Hyp*Sin(Ф) = Opp

15*sin(49)= Opp

11.32...= Opp =b