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Trigonometric ldentities and Equations Test - 102
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Trigonometric ldentities and Equations Test - 102
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  • Question 1/10
    4 / -1
    From a point a metre above a lake the angle of elevation of a cloud is α and the angle of depression of its reflection is β. The height of the cloud is
    Solutions

  • Question 2/10
    4 / -1
    ABCD is a rectangular field. A vertical lamp post of height 12 m stand at the corner A. If the angle of elevation of its top from B is 60o and from C is 45o, then the area of the field is
    Solutions

  • Question 3/10
    4 / -1
    The shadow of a tower is found to be 60 metre shorter when the sun’s altitude changes from 30o to 60o. The height of the tower from the ground is approximately equal to
    Solutions

  • Question 4/10
    4 / -1
    At a distance 2h from the foot of a tower of height h, the tower and a pole at the top of the tower subtend equal angles. Height of the pole should be
    Solutions

  • Question 5/10
    4 / -1
    A house subtends a right angle at the window of an opposite house and the angle of elevation of the window from the bottom of the first house is 60o. If the distance between the two houses be 6 metres, then the height of the first of the first house is
    Solutions

  • Question 6/10
    4 / -1
    The angle of elevation of the sun, when the shadow of the pole is √3 times the height of the pole is
    Solutions

  • Question 7/10
    4 / -1
    A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle 60o with the horizontal and height of the house he 6√3 metres, then the length of the ladder is
    Solutions

  • Question 8/10
    4 / -1
    If the angles of elevation of two from the middle point of the line joining their feet be 60o and 30o respectively, then the ration of their heights is
    Solutions

  • Question 9/10
    4 / -1
    At a point on the ground the angle of elevation of a tower is such that its cotangent is 3/5. On walking 32 metres towards the tower the cotangent of the angle of elevation is 2/5. The height of the tower is
    Solutions

  • Question 10/10
    4 / -1
    A ladder rests against a wall making an angle α with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle β with the horizontal. The correct relation is
    Solutions

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