Respuesta :

Answer:

A = 51°   b = 15.3858...   c = 24.448

Step-by-step explanation:

Given: B= 39°

a = 19

and that it's a right triangle

so that means the other 3rd angle is

A+39+90=180

A= 51°

use SOH CAH TOA to remember how sin cos and tan fit on the triangle

Sin(x)=Opp/Hyp    Cos(x)=Adj/Hyp  Tan(x)=Opp/Adj

Let's use  Tan to find b

Tan(b) = Opp / Adj

Tan(39) = b / 19

19*Tan(39) = b

15.38589... = b

use Pythagoras to find c

c = [tex]\sqrt{a^{2} +b^{2} }[/tex]

c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]

c = 24.448....