Class IX

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?
  1. 5 metres
  2. 8 metres
  3. 10 metres
  4. 12 metres
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
The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:
  1. 60°
  2. 90°
  3. 45°
  4. None of these
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
The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:
  1. 54.6 m
  2. 64.6 m
  3. 59.7 m
  4. 75.5 m
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