A climber is climbing a mountain. He is hanging from the bottom of a pair of anchors forming a Y shape at an angle θ.

What is the force F at each anchor, express symbolically ( in terms of L(the climber), and θ)

Assuming the Y-shaped chords are symmetrical with respect to the vertical, and θ is angle of each chord with the vertical, then

resolve forces along the y-axis (vertical),
2Fcos(θ)=mg
F=tension on each chord,=force on anchor
m=mass of climber

Solve for F.