Two pillers 50 and 61 high m feet are 60 m a ground. If a there the distance between their tops. c) Express as a Jurs 2 stand upright in apart, then find distance between their tops
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Given: Two poles of heights 6m and 11m stand vertically upright on a plane ground. Distance between their foot is 12 m.
To find: Distance between their tops.
Let CD be the pole with height 6m.
AB is the pole with height 11m, distance between their foot i.e. DB is 12 m.
Let us assume a point E on the pole AB which is 6m from the base of AB.
Hence
AE = AB − 6 = 11 − 6 = 5 m
Now in right triangle AEC, Applying Pythagoras theorem
AC2 = AE2 + EC2
AC2 = 52 + 122 (since CDEB forms a rectangle and opposite sides of rectangle are equal)
AC2 = 25 + 144
AC2 = 169
AC=13cm
Thus, the distance between their tops is 13m.
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