It's a circle
Geometry
Level
3
A vertical lamp post of height 3 m stands at a point on the boundary of a circular field of 1 m radius. A man of height 1.5 m is running round the boundary. Now the locus of the end of the shadow of the man will be a circle. Find the radius of that circle.
The answer is 2.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
It would become much easier if You were to draw a diagram. Then apply Similarity. There would be at one point which would form diameter ( Two diametrically opposite points). Take it as your reference point.