A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 156
ower to the mid-dle of the ladder, is the least that will reach it from there to any partof it: required, the length of ladder, and the distance its foot is fromeach building. (Whitney.) Solution. (1) AF = 29 ft., height of the lower building. (2) BD = 40 ft., height of the higher building. (3) BE… … (1)(2)(3)(4)(5) (5) Then we have x* + 1600 = 4s- (6) {x+y)* + (40 — 29)* = y* _|_ 292 (7) j2 + 29* = ^2 + 462 . . . (8) Reducing (2), x* + 2xy = 720 (9) From (3), z* = j>* — 1275 . (10) Substituting the value of z in (1), 2y = V (x* — 6700). (11) Substituting this value of 2y in (4),…
Arithmetic · Geometry
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