1. ## Mechanics vector problem

The attachment shows a particle of mass 2.6kg maintained in equilibrium in a veritical place by forces of 5P N and 12 P N which are perpendicular. Find

a) Ѳ the angle at which the force of 5P N is inclined to the vertical
b) the value of P

any help would be great

2. equilibrium in the y-direction ...

$5P\cos{\theta} + 12P\sin{\theta} = 2.6g$

equilibrium in the x-direction ...

$5P\sin{\theta} = 12P\cos{\theta}$

solve the system for $P$ and $\theta$