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)/(3) m/s towards a street light which is 5(1)/(3) m above the ground. At what rate is the tip of his shadow moving and at what rate is the length of the shadow changing when he is 3(1)/(3)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.

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

A girl of height 100 cm is walking away from the base of a lamp-post at a speed of 1.9m"/"s . If the lamp is 5m 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 person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60^(@) . When he retreates 20m from the bank, he observes the angle of elevation of the top of the same tree to be 30^(@) . Find the height of the tree and the breadth of the river.

A man 2m tall walks at a uniform speed of 4m/min away from a lamp post 6m high. Find the rate at which the length of his shadow decreases.

A man owns a field of area 1000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1400 to purchase young trees. He has the choice of two types of trees. Type A requires 10 sq.m. of ground per tree and costs Rs. 20 per tree and type B requires 20 sq.m. of ground per tree and costs Rs. 25 per tree. When fully grown type A produces an average of 20 kg. of fruit which can be sold at a profit of Rs. 2/ - per kg and type B produces an average of 40 kg of fruit which can be sold at a profit of Rs. 1.50/ - per kg. How many of each type should be planted to achieve maximum profit when the trees are fully grown ?

A drunkard is walking along a straight road. He takes five steps forward and three steps backward and so on. Each step is 1 m long and takes 1 s . There is a pit on the road 11 m , away from the starting point. The drunkard will fall into the pit after.