Unformatted text preview: (c) Inscribe a regular octagon inside the same circle. That is, draw a regular octagon such that each of its eight vertices touches the circle. Calculate the area of this octagon. A B θ 27. The picture on the right shows a cube whose sides are of length a > 0. (a) Find the length of the diagonal line segment AB . (b) Find the angle θ that AB makes with the base of the cube. A B C D α β Figure 1.3.6 28. In Figure 1.3.6, suppose that α , β , and AD are known. Show that: (a) BC = AD cot α − cot β (b) AC = AD · tan β tan β − tan α (c) BD = AD · sin α sin ( β − α ) ( Hint: What is the measure of the angle ∠ ABD ? ) 29. Persons A and B are at the beach, their eyes are 5 ft and 6 ft, respectively, above sea level. How many miles farther out is Person B’s horizon than Person A’s? (Note: 1 mile = 5280 ft)...
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 Fall '11
 Dr.Cheun
 Calculus, Angles, Line segment, Regular polygon, Ball Bearings, Octagon

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