A cathedral ceiling (shown below) is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall, the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high.
?
A: What is the slope of the ceiling?B: The width of the room is 16 feet. Use your answer to part A to determine how high the ceiling is at the east wall.C: If you stand on a ladder, you can reach 13 feet high. Use your answer to part A to determine the farthest distance from the west wall at which you can stand on the ladder and reach the ceiling.
What will be an ideal response?
A: 0.83 feet per foot?B: 21.28 feet high ?C: 6.02 feet from the west wall
Mathematics
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