Question

in the figure angles α, β are positive.

Find the value of α, β, and b.

Answer 1

5^2=3^2+b^2-(2)(3)(b)cos32
find b from this equation

b^2=5^2+3^2-(2)(5)(3)cosβ

find β from this equation

then α=180-32-β

Answer 2

b^2=34-6bcos32
where do i go from here?

Answer 3

from eq 1:b^2-6bcos32-16=0
this is a simple quadratic equation,u can get cos 32 with a calculator

Answer 4

I think it would be be a little simpler if you used the law of sines

Answer 5

choose whichever method u like,after solving i got:b=7.29 alpha=19 betta=129,