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 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?

On the top of a 60 metre high building sees the top and bottom of a tower at a depression of 30^circ and 60^circ . What is the height of the tower?

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]'

From the top of a tower, the angle of depression of a point on the ground is 60^@ . If the distance of this point from the tower is 1/(sqrt3+1) m then the height of the tower is

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?

A boy standing on the top of a tower 20 metrés height, saw the top of a building at an elevation of 50^circ and its base at a depression of 30^circ a) Draw a rough figure. according to the given data. b) find the distance between the tower and the building. c) find the distance from the top of the tower to the base of the building. d) find the height of the building. [sin 50^circ =0.77, cos 50^circ =0.64, tan 50^circ =1.2, 'sqrt3 =1.7]

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 observed the top of a tower at a distance a from its base at an angle of elevation 30^circ . He saw the top of a tower at an angle of elevation 60^circ from a point at the distance b from the base, Prove that the height of the tower h=sqrtab