Question

Please help me!!!!!!

Answer 1

A = 51° b = 15.3858... c = 24.448

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 =
`\sqrt{a^(2) +b^(2) }`

c =
`\sqrt{19^(2) +15.3858^(2) }`

c = 24.448....