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Two poles X and Y stand 3√2 m apart, such that the angle of elevation of the top of pole X as observed from the foot of pole Y is 30° and the angle of elevation of the top of pole Y as observed from the top of pole X is 60°. What is the angle of elevation of the top of pole Y from the foot of pole X?
An 80√3 m long electric pole is standing in a park. Another pole is to be placed in the park, such that the top of first pole makes an angle of 30° with the top of second pole and an angle of 45° with the foot of second pole. What is the height of second pole? [Use √3 = 1.732]
A pole on the ground leans at 60° with the vertical. At a point x metre away from the base of the pole on the ground, two halves of the pole subtend the same angle. If the pole and the point are in the same vertical plane, then what is the length of the pole?
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown. What is the ratio of the areas of unshaded regions of case M to that of case N?
In the following question, sentences of a paragraph have been jumbled and labelled as A, B, C and D. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option. A: An induction motor can, therefore, be made without electrical connections to the rotor. B: Three-phase squirrel-cage induction motors are widely used as industrial drives because they are self-starting, reliable and economical. C: An induction motor's rotor can be either wound type or squirrel-cage type. D: An induction motor or asynchronous motor is an AC electric motor in which the electric current in the rotor needed to produce torque is obtained by electromagnetic induction from the magnetic field of the stator winding.
In case of synchronous motor, which of the following are true? a. Synchronous motor is not self-starting b. If the rotor poles are excited by field current and the stator terminals are connected to AC supply, motor vibrates. c. Variable frequency supply is used to start synchronous motor. d. By using frequency converter, a synchronous motor can be brought from standstill to its desired speed.
When the pole is on roadside and there is no space for stay, one pole is used as a support to the line pole from opposite side of the stay. This support pole is called
In case of a shaded pole motor the direction of rotation of the motor is
The difference in the lengths of the shadows of a pole cast by the sun (at different times of a day) when the angles of elevation of the top of the pole measured from two points on the ground on the same side of the pole were 45° and 30° was given as \(10(\sqrt 3 - 1) m.\) How tall was the pole?
A tower and a pole are certain distance apart and angle of depression from the top of pole to the foot of tower is 30°. Angle of depression of foot of pole for top of tower is 60° and if height of pole is 30 feet, then what is the height of tower?