Howard is designing a chair swing ride. The swing ropes are 5 55 meters long, and in full swing they tilt in an angle of 2 9 ∘ 29 ∘ 29, degrees. Howard wants the chairs to be 2.75 2.752, point, 75 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.