Climbing anchors

Construction

Climbers know a lot about angles and anchors. Building an appropriate anchor keeps them alive. When they are progressing on their climbs they need to remember that “The greater the angle created by the lines of the anchor, the greater the force on each piece”.

This construction shows the relation between the angle and the percentage of the central force that each anchor is receiving. Theoretically this is a completely equalized anchor.

As you can see the decision about the angle is more than crucial for a climber.

Trigonometry is extremely helpful to find the projection of each force, and calculate the force on the bolts. This construction of Geogebra explains that situation.

Knowing that the vertical force on each bolt is half the central force, would you know how to find the value of the projection each force?