An architetect wants to design a semicircular tunnel so that two average trucks measuring 8 feet wide and 12 feet tall can pass each other with a 3 feet clearance between them (w), and 3 feet clearance with the ceiling (z). Round your answers to two decimal places. 1. What is the smallest possible center height of the tunnel? 2. What is the height of the tallest 9 feet wide vehicle that can drive down the center of the tunnel maintaining the minimum vertical clearance of 3 feet?

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An architetect wants to design a semicircular tunnel so that two average trucks measuring 8 feet wide and 12 feet tall can pass each other with a 3 feet clearance between them (w), and 3 feet clearance with the ceiling (z).
Round your answers to two decimal places.
1. What is the smallest possible center height of the tunnel?
2. What is the height of the tallest 9 feet wide vehicle that can drive down the center of the tunnel maintaining the minimum vertical clearance of 3 feet?
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