The sketch shows a plot of land .
(a) Using a scale of 1 cm to 10m, draw an accurate diagram of the plot ;
(b) Construct : (i) The locus (l_{1}) of points equidistant from AC and BC ; (ii) the locus (l_{2}) of points 60m from A.
(c) A tree T inside the plot is on both (l_{1}) and (l_{2}). Locate T and find |TC| in metres.
(d) A flagpole, P is to be placed such that it it is nearer AC than BC and more than 60m from A. Shade the regions where P can be located.
Explanation
(a) (|AB| = 85m = frac{85}{10})
= (8.5cm)
(|TC| = 6cm equiv 60 m).