Simultaneous Equations: Solving for θ with FA and NA

[aaronfue]

Homework Statement

I have two eqs. but am stuck on solving them.

Homework Equations

F_A - 10sinθ = 0
N_A - 10cosθ = 0
Where F_A = 0.15N_A

The Attempt at a Solution

I've substituted the 0.15N_A into the first equation but am still not sure how to get θ? I'm sure its something easy that I'm just drawing a blank on.

 

[gneill]

Solve the second equation for N_A, substitute into first equation (where you've already replaced F_A with 0.15N_A). Should boil down to a simple trig expression.