(Ⅱ)
(I) Let the shoreline of the lake be L, the vertical line pass through point A and point B respectively, and the vertical foot is point E and point F, extending from point AB to point G. ..
Because BC = 2 and BCF = 60, then,
Because CD = x > 1, DF = CD-CF = x- 1,
Therefore ... (3 points)
Because ∠ ABC = 150, ∠ CBG =30, and ∠ BCF =60,
Then ∠ BGC =30, so.
Because ab =, then ag = ab+BG =,
So AE = agsin 30 =, Ge = agcos 30 = 6.
And GC = BC = 2, then ce = ge-GC = 4, because CD = x < 4, then de = ce-CD = 4-x,
So ...? (7 points)
(Ⅱ) Let ∠ ADB = θ, then
( )。 (9 points)
Let x+2 = t, then.
Because, then, if and only if, that is, when the equal sign, so when, that is, when, tan θ takes the maximum value.
And θ is an acute angle, θ takes the maximum value. ? (12)
Therefore, when the sightseeing pavilion D is built at a distance of C, the visual effect of viewing the sightseeing belt AB at D is the best. (13)