Kyle is pulled back on a swing so that the rope forms an angle of 30 degrees with the vertical. The distance from the top of the swing set directly to the ground is 12 feet. Find kyles height off the ground,x, when he is in the pulled-back position. Round the nearest tenth.

Question

misssunshinexxoxo · Answer

The swing chain is x feet long (x < 12), then the swing is hanging 12-x feet off the ground when at rest. 

 the swing at 30° is 

12-x + x(1-cos30°) feet off the ground.