A man 1.8 metres tall looks down from the top of a light house 25 metres high and sees a ship at an angle of depression `35^circ` How far is the ship from the foot of the light house? Lets draw a figure first:

A man 1.7 metres tall stands 10 metres away from the foot of a tree, and he sees the top of the tree at an angle of elevation 40^circ . How tall is the tree?

A man standing on the top of a light house sees a ship approaching the seashore at an angle of depression of 22^circ . After the ship has travelled 100 meters more towards the sea shore, he sees it at an angle of depression of 31^circ .The ship stopes there. a) Draw a rough-sketch. b) How far is the ship from the light house. c) Find the height of the light house. (tan 22^circ =0.4, tan 31^circ =0.6)

A man 1.8 metre tall standing a the top of a telephonetower, saw the top of a 10 m high building at a depression of 40^circ and the base of the building at a depression of 60^circ . What is the height of the tower? How far is it from the building?

A child stands 30 metres away from the foot of a telephone tower, sees the top of the tower at an angle of elevation 30^circ . Stepping some distance towards the tower, sees it at an elevation of 45^circ a) What is the height of the tower? b) How much distance did he walk?

Two buildings in a plane ground are 20 metres apart. From the top of the smaller building, one sees the base of the building at a depression of 50^circ and its top at an elevation of 25^circ . a) Draw a rough figure and mark the measurements. b) Find the helght of the smaller building. c) Find the height of the bigger building. '[tan 50^circ=1.2, tan 25^circ=0.4]'

A man 160 cm tall, walks away from a source of light situated at the top of a pole 6 m high, at the rate of 1.1 m/sec. How fast is the length of his shadow increasing when he is 1 m away from the pole?

A ladder leans against a wall, with its foot 2 metres away from the wall and the angle with the floor is 40^circ . How high is the top end of the ladder from the ground?

One sees the top of a tree on the bank of a river at an elevation of 70^circ from the other bank. Stepping 20 metres back, he sees the top. of the tree at an elevation of 55^circ . Height of the person is '1.4' metres. a) Draw a rough figure and mark the measurements. b) Find the height of the tree. c) Find the width of the river. '[tan 70=2.75 , tan 55=1.43]'

Two children of same height standing on either sides of a tower, looks the top of tower at an elevation of 40^circ , 55^circ . The distance between the children is 25 metres. Height of the chlidren is 1.5 metres. a) Draw a rough figure showing the givën measurements. b) Calculate the height of the tower. [sin 40^circ =0.64, sin 55^circ =0.82, cos 40^circ =0.77, cos 55^circ =0 .57, tan 40^circ =0.89, tan 55^circ =1.43]