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 164
FE. Exile.—Divide the pro duet of their heights by their sum. NoTK.—It would be well to bear in mind that the height at whichthe lines cross is not affected by the distance the poles are apart. PROBLEM 323. Two trees are a certain distance apart; from the top of a to the footof t> is 60 ft.;… … 150 FAIRCHILDS SOLUTION BOOK. Solution. (1) From Fig. 21, let DB=*—y\ AC = x+y; FE = r = 15; CD = £ = 40; AB=A = 60; BF=^; and CE = w. (2) By similar triangles, w : c :: ze/-j-£ : x—y, or ^(^—y) = c{zv+z) ... (1). (3) z \ c :: w-|-,s : x-\-y, or {w-\-£)c=.z(x-\-y) ... (2). (4) r.w{x-y)=z{x+y) . . .…
Arithmetic · Geometry
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