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 tower is built in a river of width 80 metres. One sees the top of the river at an elevation of 55^circ and 65^circ . from either banks of the river. a) Draw a figure using the given measurements. b) Find the height of tower c) Find the distances to either banks from the foot of the tower. [tan 55^circ =1.43 , tan 65^circ =2.14]

From the top of a building 15 meter high, one sees the top of another taller building at an angle of elevation of 70^circ and bottom at an angle of depression of 40^circ a) Draw a rough figure and mark the measurements given. b) Find the height of the taller building. [ tan 70 = 2.747,tan40 = 0.839 ]

A boy sees the top of a tówer with an angle of elevation. 60^circ . Stepping 20metres back, he sees the same top with an angle of elevation 30^circ . Draw a rough figure and calculate the height of the tower.

A boy standing at the edge of a canal sees the top of a tree on the other edge at an elevation of 60^o . Stepping 12 metres back, he sees it at an elevation of 30^o . Find the height of the tree.

A boy standing at one bank of a river sees the top of a tree on the other bank directly opposite to the boy at an elevation of 60^o . Stepping 40 metres back, he sees the top at an elevation of 30^o . Draw a rough figure and find the height of the tree.

A boy standing at one bank of a river sees the top of a tree on the other bank directly opposite to the boy at an elevation of 60^o . Stepping 40 meters back, he sees the top at an elevation of 30^o . What is the width of the river?

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 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 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?

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]