Class IX

The angle of elevation of the sun, when the length of the shadow of a tree under root 3 times the height of the tree, is:
  1. 30º
  2. 45º
  3. 60º
  4. 90º
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is
  1. 2.3 m
  2. 4.6 m
  3. 7.8 m
  4. 9.2 m
A man on the top of a vertical observation tower observers a car moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observati
  1. 8 min 17 second
  2. 10 min 57 second
  3. 14 min 34 second
  4. 12 min 23 second
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
  1. 200 m
  2. 173 m
  3. 273 m
  4. 300 m
From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
  1. 156 m
  2. 149 m
  3. 173 m
  4. 200 m
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