Two poles of heights 18 metre and 7 metere are erected on a ground. The length of the wire fastened at their tops in 22 meters. Find the angle made by the wire with the horizontal.

Two buildings are in front of each other on a road of width 15 meters. From the top of the first building, having a height of 12 meters, the angle of elevation of the top of the second building is 30^@ . What is the height of the second building?

A wire of length 36 meters is bent in the form of a rectangle. Find its dimensions if the area of the rectangle is maximum.

The horizontal distance between two poles is 15m. The angle of depression of the top of the first pole as seen from the top of the second pole is 30^o . If the height of the second pole is 24 m, find the height of the first pole. (sqrt(3)=1. 732)

A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60^(@) with the ground . The distance from the foot of the tree to the point where the top touches the ground is 5 metres . Find the height of the tree. ( sqrt(3) = 1.73 )

A potentiometer wire is 10 meter long and a potential difference of 6 volt is maintained between its ends. Find the e.m.f. of a cell which balances a length of 180 cm of the potentiometer wire.

A current of 5 ampere is flowing in a wire of length 1.5 metres. A force of 7.5 N acts on it when it is placed in a uniform magnetic field of 2 Tesla. The angle between the magnetic field and the direction of the current is

Two wires shown in the figure are connected in a series circuit and the same amount of current of 10A passes through both, but in opposite directions seperation between the two wires is 8 mm. The length AB is S = 22 cm. Obtain the direction and magnetic field due to current in wire 2 on the section AB of wire 1. Also obtain the magnetic and direction of the force on wire 1. (mu_0=4pixx10^-7TmA^-1) .

A light rod of length 200 cm is suspended from the ceiling horizontally by means of two vertical wires of equal length tied on its end. One of the wires is made of steel and has area of cross-section 0.1 cm^2 and the order of brass of cross-sectional area 0.2 cm^2. An object of mass m is hung to the rod. (Y_"steel"=2xxY_"brass") At which distance from one end of the rod should a weight be hung to produce equal strains in both the wires?

To find the width the river, a man observes the top of a tower on the opposite bank making an angle of elevation 61^(@) . When he moves 50m backward from bank and observes the same top of the tower, his line of vision makes an angle of elevationfo 35^(@) . Find the height of the tower and width of the river. (tan 61^(@)=1.8, 35^(@)=0.7)