• 1. 
    A lamp post 5√3 m high casts a shadow 5 m long on the ground. The sun’s elevation at this point is:

  • 30°
  • 45°
  • 60°
  • 90°
  • 2. 
    The angle of elevation of the top of a tower from a point P on the ground is α. After walking α distance d towards the foot of the tower, angle of elevation is found to be β. Then

  • α < β
  • α > β
  • α = β
  • None of these
  • 3. 
    If the angles of elevation of the top of a tower from two points at the distance of 3 m and 12 m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is:

  • 36
  • 60
  • 6
  • 100
  • 4. 
    A ladder makes an angle of 60° with the ground, when placed along a wall. If the foot of ladder is 8 m away from the wall, the length of ladder is:

  • 4 m
  • 8 m
  • 8√2 m
  • 16 m
  • 5. 
    If the height and length of a shadow of a man are the same, then the angle of elevation of sun is:

  • 30°
  • 60°
  • 45°
  • 15°
  • 6. 
    A bridge, in the shape of a straight path across a river, makes an angle of 60° with the width of the river. If the length of the bridge is 100 m, then the width of the river is:

  • 50 m
  • 173.2 m
  • 43.3 m
  • 100 m
  • 7. 
    The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot is 30°. The height of the tower is:

  • 30 m
  • 10√3
  • 20 m
  • 10√2 m
  • 8. 
    The angle of elevation of the top of a tower at a distance of 500 m from the foot is 30°. The height of the tower is:

  • 250√3 m
  • 500√3 m
  • \(\frac{500}{√3}\) m
  • 250 m
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