Question: 1. a pre-calculus student notes that from the rooftop patio of a coffee shop, the top of a nearby building can be viewed at an

1. a pre-calculus student notes that from the rooftop patio of a coffee shop, the top of a nearby building can be viewed at an angle of elevation of 45, and the base of the second building can be marked at an angle of depression from the same location as 30, if the patio is 28 m above street level, find the height of the second building.

2. A circular sheet of metal with a radius of 6 inches is cut into three equally sized sectors. Each is then curved to form a cone. What is the height of each of the cones? Hint: find the arc length of each of the sectors and consider what part of the cone is formed by this arc

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