Two poles 15 m and 30 m high stand upright in a park, while the distance between the feet of each other is 36 m apart. What may be the distance between the tops?
21.50 m
22.00 m
19.50 m
39.00 m
Solution
Let the numerical be represented geometrically as:
If a line is drawn from the top of the pole to the larger one then a perfect square is formed and the remaining portion is the right angle triangle.
The distance between each of the tops of the pole can be computed as it is the hypotenuse.
distance between the tops$=~\surd (152+~362)=~\surd (225+1296)=39~m$