Mia is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 15 meters from the building. The angle of elevation from her eyes to the roof (point A) is 18 degrees, and the angle of elevation from her eyes to the top of the antenna (point B) is 53 degrees. If her eyes are 1.75 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.
