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The Top of a 15 metre high tower makes an angle of elevation of 60 degree with the bottom of an electric pole and angle of elevation of 30 degree with the top of pole. Find the height of the electric pole.

  • 7 metre
  • 8 metre
  • 9 metre
  • 10 metre
Similar Questions :

1. The angle of elevation of the sun, when the length of the shadow of a tree is \begin{aligned}\sqrt{3}\end{aligned} times the height of tree, is :

  • 30 degree
  • 45 degree
  • 60 degree
  • 9 degree

2. 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 degree and 45 degree respectively. If the lighthouse is 100 m high, the distance between the two ships is:

  • 276 metre
  • 273 metre
  • 270 metre
  • 263 metre

3. From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower.

  • 170 meter
  • 172 meter
  • 173 meter
  • 167 meter

4. A toy leaves the earth at a point A and rises vertically at uniform speed. After two minutes of vertical rise boy finds the angular elevation of the balloon as 60°.
If the point at which boy is standing is 150 m away from point A, what is the speed of the toy ?

  • .98 meter/second
  • 1.08 meter/second
  • 1.16 meter/second
  • 2.08 meter/second
  • 2.16 meter/second

5. A man is watching form the top of the tower a boat speeding away from the tower. The boat makes the angle of depression of 45 degree with the man's eye when at a distance of 60 metres from the tower. After 5 seconds the angle of depression becomes 30 degree. What is the approximate speed of the boat, assuming that it is running in still water ?

  • 22 Km/Hr
  • 28 Km/Hr
  • 32 Km/Hr
  • 36 Km/Hr
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