When the sun is at an elevation of `40^circ` the length of the
shadow of a tree is 18 metres. What is the height of the tree?

When the sun is at an elevation of 35^circ , the shadow of a tree is 10 metres. What would be the length of the shadow, when the sun is at an elevation of 25^circ ?

When the sun is at an elevation of 40^circ the shadow of the flagpost is 15 metres. a) Find the height of the flagpost. b) What would be the length of, the shadow, when the sun is at an elevation of 45^circ ? [tan 40=0.84 , sin 40=0.64]

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]'

A '1.5' metre tall boy saw the top. of a building under construction at an elevation of 30^circ .The completed building was 10 metres higher and the boy sáw its top at an elevation of 60^circ from the same spot. What is the height of the büilding?

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 boy '1.2' metres tall stands 1 metre away from the foot of a lamp post. If the length of his shadow is '1.5' metres, what is the height of the lamp post?

The area of a square plot is 1024 square metres. What is the length of its sides?'

A tree stands vertically on a hill side which makes an angle of 15^@ with the horizontal. From a point on the ground 35m down the hill from the base of the tree, the angle of elevation of the top of the tree is 60^@ . Find the height of the tree.

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]

A boy saw the top of a building under construction at an elevation of 30^circ . The completed building was 12m higher and the boy saw its top, at an elevation of 60^circ from the same spot. a) Draw a rough figure based on the given details. b) What is the height of the building? c) What is the distance between the building and the boy?