Scarlett is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 33 meters from the building. The angle of elevation from her eyes to the roof (point A) is 27∘, and the angle of elevation from her eyes to the top of the antenna (point B) is 33∘. If her eyes are 1.67 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest tenth of a meter if necessary.