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]

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 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 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 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]

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 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

Two buildings of same height in a plane ground are 80 meters apart, A boy standing in between sees the top of the buildings at an elevation of 35^circ and 65^circ . a) Draw a rough figure. b) Find the distaince from each buildings to the boy. c) Find the height of büildings. '[sin 35=0.57, cos 35=0: 81, tan 35=0.70 , sin 65=0.90, cos 65 .=0.42, tan 65=2.14]'

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?

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 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?