A vertical lamp-post of height h stands at a point on the boundary of a circular field. A man of height a is running round the boundary. Prove that the end of the shadow of the man will also travel on a circle. Find the ratio of the radii of the two circles.

man of height h walks in a straight path towards a lamp post of height H with uniform velocity u. Then the velocity of the edge of the shadow on the ground will be :-

A pole of height h stands in the centre of a circular platform in the centre of a circular field. Another pole of equal height is at a point on the boundary of the field. The angles of elevation of the top of the first pole from the bottom and top of the second pole are respectively alpha and beta . Height of the platform from the ground is

A flagstaff stands vertically on a pillar,the height of the flagstaff being double the height of the pillar.A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes.The ratio of the height of the pillar and the distance of the man from the pillar is

A man of height 1.7 m walks at a uniform speed of 6.6 m/min from a lamp post which is 5m high.Find the rate at which the length of his shadow increases.