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]'

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]'

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 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]

A boy is standing between two building of equal height. The boy and the buildings are in a straight line. He see the tops of those buildings at elevations of 45^o and 30^o . The nearest building is 20 metres away from him. Draw a rough figure.

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]

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 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)

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]

A ladder leans against a wall. Its foot is 3 metres away from the wall and making an angle 35^circ with ground. How high is the other end of the ladder from the ground? (sin 35^circ=0.57, cos 35^circ=0.82, tan 35^circ=0.70)