Ravi is 1.82m tall. He wants to find the height of a tree in his backyard. From the tree’s base he walked 12.20 m. along the tree’s shadow to a position where the end of his shadow exactly overlaps the end of the tree’s shadow. He is now 6.10m from the end of the shadow. How tall is the tree ?

A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street light which is 5 1/3 m above the ground. At what rate is tip of his shadow moving? At what rate is the length of the shadow changing when he is 3 1/(13)m from the base of the light?

A girl of height 90 cm is walking away from the base of a lamp post at a speed of 1.2 m/sec. If the lamp post is 3.6m above the ground, find the length of her shadow after 4 seconds.

An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45^(@) What is the height of the palm tree?

A light is placed on the groung at a distance of 30 ft from a house. A man 6 ft tall walks from the light towards the house at the rate of 5 ft/s find the rate at which his shadow on the wall is shortening when he is 15 ft from the wall.

A 1.5m tall boy stands at a distance of 3m from a lamp post and casts a shadow of 4.5m on the ground. Find the height of the lamp.

A man of height 1.6m, walks at a rate of 30m/sec away from a lamp which is 4m in height. How fast the shadow of man is lengthening.

A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end the other (10 m away) with a speed to 4m/s relative to the trolley in a direction opposite to the trolly's motion and jump out of the trolly. What is the final speed of the trolly? How much has the trolly moved from the time the child begins to run?

The bulb is placed at the centre of a circular track of radius 10m. A vertical wall is erected touching the track at a point P. A man is running along the track with a speed of 10 m/sec. Starting from P the speed with which his shadow is running along the wall when he is at an angular distance of 60^(@) form P is