Bridge Truss Force Decomposition (Civil & Mechanical Engineering)

In structural engineering, joint analysis relies on right-triangle trigonometry to decompose static force vectors into axial components along support members.

A bridge truss joint (Junction A) experiences a downward gravitational load of $150\text{ kN}$ from traffic. Two steel struts meet at this junction: Strut 1 is horizontal, and Strut 2 forms an angle of $\theta = 30^\circ$ with the horizontal strut.

Determine the following under static equilibrium conditions (where the vertical component of the force in Strut 2 must balance the $150\text{ kN}$ downward load):

1. Draw the force triangle representing the equilibrium state.
2. Determine the exact force in Strut 2.
3. Determine the exact force in Strut 1.