2. While leaning out of your apartments window, you notice a) that is is a warm and sunny day, b) that the line of sight to the top of a nearby tree makes an angle of 45 degrees above the horizontal, and c) that the line of sight to the base of the tree makes an an angle of 30 degrees below the horizontal. Taking advantage of a), you go outside and discover that it is 40 feet from the building to the base of the tree. How tall is the tree? 3 a. A lighthouse sits on a rock oshore and its beam rotates once every 48 seconds. Starting from the point on the shore nearest the lighthouse, the beam moves 300 feet down the shore in 4 seconds. How far is the lighthouse from the shore?
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