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.

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?