1. The problem statement, all variables and given/known data What is the height of the object and pendulum bob at the top of the swing, when they have reached their maximum displacement? Keep in mind that the pendulum has a length L and swings through an angle theta. 2. Relevant equations Trigonometric functions 3. The attempt at a solution I am trying to find the height, h in order to be able to complete a mechanical energy problem that I am fully able to complete. My problem is that my geometry might be a little rusty and I can't seem to solve for this needed value. I broke down the diagram into two triangles-- one is isosceles with two sides equal to L which converge to form angle theta. The other triangle (a right triangle) shares the side opposite theta and has a leg equal to h. Now, there must be some fancy geometry trick to be able to solve for h in terms of L and theta, but I honestly can't seem to figure it out. I am sure there is a rule for triangles that I am forgetting that will solve this.