Home
Class 10
MATHS
Two poles of equal heights are standing ...

Two poles of equal heights are standing opposite each other on either side of the road, which is 80m wide. From a point between them on the road, the angles of elevation of the top of the poles are `60^(@)` and `30^(@)`, respectively . Find the height of the poles and the distances of the point from the poles.

Text Solution

Verified by Experts

The correct Answer is:
Height of the ploes `=20sqrt(3)` m
Promotional Banner

Topper's Solved these Questions

  • MOST LIKELY QUESTION PAPER 10

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTIONS|36 Videos

  • PAIR OF LINEAR EQUATION IN TWO VARIABLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 3.7|12 Videos

Similar Questions

Explore conceptually related problems

Two poles of equal height are standing opposite to each other on the either side of the road which is 80 m wide. From a point P between them on road, the angle of elevation of the top of a pole is 60^(@) and the angle of depression from the top of another pole at point P is 30^(@) . Find the heights of the poles and distances of the point P from the poles.

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are 45^(@) and 60^(@) respectively. Find the height of the tower.

If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45^(@) and 60^(@) respectively. Find the height of the tower.

Two men on either side of a building 75 m high and in line with the base of building observe the angles of elevation of the top of the building as 30^(@) and 60^(@) . Find the distance between the two men.

The angle of depression of the top and bottom of a building 7 m tall from the top of a tower is 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

Two pillars of equal height and on either side of a road , which is 100 m top of the angles of elevation of the top of the pillars are 60 and 30 at a point on the road between the pillars find the position of the point between the pillars and height of eah pillars

CPC CAMBRIDGE PUBLICATION-MOST LIKELY QUESTION PAPER 8 -QUESTIONS
  1. Find the value of cos60^(@) cos 30^(@)-sin 60^(@) sin 30^(@)

    Text Solution

    |

  2. The T.S.A of a solid hemisphere of radius 21 mm.

    Text Solution

    |

  3. Prove that if x and y are odd positive integers , then x^2 +y^2 is eve...

    Text Solution

    |

  4. Solve: 100x+200y=700 200x+100y=800

    Text Solution

    |

  5. Find the roots of the quadratic equation 3x^(2)-2sqrt(6)x+2=0 by formu...

    Text Solution

    |

  6. Find the value of x in which the points (1, -1) (x,1) and (4, 5) are c...

    Text Solution

    |

  7. ABC is a right angled triangle, having lfloorB=90^(@). If BD=DC, Show ...

    Text Solution

    |

  8. A box contains 90 dices which are numbered from 1 to 90. If one dise i...

    Text Solution

    |

  9. Prove that (tan theta+ sin theta)/(tan theta-sin theta)= (sec theta+1)...

    Text Solution

    |

  10. The sum of the ages of A and B is 85 years. 5 years ago, the age of A ...

    Text Solution

    |

  11. Find the zeroes of the polynomial p(y)=y^(3)-5y^(2)-2y+24 if it is giv...

    Text Solution

    |

  12. The diagonal of a rectangular field is 60 metres more than the shorter...

    Text Solution

    |

  13. Show that the points x(2, -2) y (-2, 1) and z(5, 2) are the vertices o...

    Text Solution

    |

  14. Prove that the angle between the two tangents drawn from an external ...

    Text Solution

    |

  15. Find the area of the shaded region where a circular are of Radius 6 c...

    Text Solution

    |

  16. If the median of the distribution given below is 28.5. Find the values...

    Text Solution

    |

  17. Solve the pair of equations graphically. x+y=3 and 3x-2y=4

    Text Solution

    |

  18. If the sum of first 8 terms of an Arithmetic progression is 136 and th...

    Text Solution

    |

  19. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  20. A circus tent is made of canvas and is in the form of a right circular...

    Text Solution

    |