Question

Help solve for two angles and missing side length

Answer 1

Well what are they haha

Answer 2

Which sides exactly?

Answer 3

side b and c

Answer 4

Well first off, let's see if we can do this the easy way an solve using our trig function. Could sin cos or tan work here?

Answer 5

yes im just not sure which on, I don't think it is tan

Answer 6

@jdoe0001 could you maybe help with this, you have helped me in the past and you explain things really well

Answer 7

I assume you've covered the Law of Cosines already?

Answer 8

yes I have I just need a refresher on how to set up the equations to solve this

Answer 9

\(\bf \textit{Law of Cosines}\\ \quad \\
b^2 = {\color{blue}{ a}}^2+{\color{red}{ c}}^2-(2{\color{blue}{ a}}{\color{red}{ c}})cos(B)\implies
b = \sqrt{{\color{blue}{ a}}^2+{\color{red}{ c}}^2-(2{\color{blue}{ a}}{\color{red}{ c}})cos(B)}
\\ \quad \\
b = \sqrt{{\color{blue}{ 8}}^2+{\color{red}{ 5}}^2-(2\cdot {\color{blue}{ 8}}\cdot {\color{red}{ 5}})cos(20^o)}\)