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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 171

An illustration from A complete and practical solution book for the common school teacher, 1899, leaf 171
FAIRCHILDS SOLUTION BOOK. (1) (2) (3) (4) Solution. Let BD^, the height of the col-umn; CD=<^, the height of thestatue; and .#=AB, the distancethe boy stands from the foot ofthe column. Describe a circle which shall passthrough D ano C, and tangentto AB, A being the point oftangent/. The angle… … FIG. 29. of the arc AD, andwe have the similar (5) c : x :: x : c-\-d. Whence, x=.yj[c(c-{-d) ]. (6) Now, A is the point at which the boy can see the statue at the best advantage. Let r=120 ft, and d=&) ft.;then #=146.96+ ft. PROBLEM 333. Find the three sides of a right-angled triangle whose…

Arithmetic · Geometry

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