Home
Class 11
MATHS
The angle of elevation of the top of the...

The angle of elevation of the top of the tower observed from each of the three points A,B,C on the ground, forming a triangle is the same anlge `alpha`. IF R is the circumradius of the `Delta ABC`, then the height of the tower is

A

`R sin alpha`

B

`R cos alpha`

C

`R cot alpha`

D

`R tan alpha`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from a point of the ground which is 30 m away from the foot of a tower of heigh 10 sqrt 3 m is…………

The angle of elevation of the top of a tower from a point on the ground, which is 50 m away from the foot of the tower is 45^@ . Draw the diagram for the situation.

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 15^@ . On moving 100 metres towards the tower, the angle of elevation increases to 30^@ . The height of the tower is

The angle of depression from the top of a tower 12m height, at a point on the ground is 30^(@) . The distance of the point from the tower is…………….

The angles of elevation of the tops of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60^@,30^@ respectively. The ratio of the heights of the towers is

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Find the height of the tower

The angle of the elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it, are complementary. Prove that the height of the tower is 6m.

In a triangle ABC let angle C=pi//2 . If r is the inradius and R is the circumradius of the the triangle ABC, then 2(r+R)=

The sum of angles of elevation of the top of a tower from two points distance a and b from the base and in the same straight line with it is 90^@ . Then the height of the tower is :

AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. Ratio of area of the incircle to the area of triangle ABC

    Text Solution

    |

  2. If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradi...

    Text Solution

    |

  3. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

    Text Solution

    |

  4. In Delta ABC, if c(a+b) cos B//2=b (a+c) cos C//2, then the triangle i...

    Text Solution

    |

  5. In DeltaABC if tan A+ c tan C=(a+c) not ((B)/(2)) then the triangle i...

    Text Solution

    |

  6. The area of the right angled triangle in terms of its circum radius an...

    Text Solution

    |

  7. The angle of elevation of the top of the tower observed from each of t...

    Text Solution

    |

  8. ABC is a triangular park with AB=AC=100 meters. A clock tower is situa...

    Text Solution

    |

  9. A Tower stands at the centre of a circular park. A and B are two point...

    Text Solution

    |

  10. If each side of length a of an equilateral triangle subtends an angle ...

    Text Solution

    |

  11. A pole of height h stands at one corner of a park in the shape of an e...

    Text Solution

    |

  12. A tower of height h standing at the centre of a square with sides of l...

    Text Solution

    |

  13. The elevation of a tower due north of a station A is alpha and at anot...

    Text Solution

    |

  14. The height of the tower vertically at the ortho centre of the triangle...

    Text Solution

    |

  15. Assertion (A) : In a Delta ABC if r(1)=2r(2)=3r(3) then a:b=5:4 Reas...

    Text Solution

    |

  16. In any triangle ABC, r(1),r(2)+r(2)r(3)+r(3)r(1)=....

    Text Solution

    |

  17. A person observes the top of a tower from a point A on the ground. the...

    Text Solution

    |

  18. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  19. IF the angles of triangle are in the ratio 1:1:4 then the ratio of the...

    Text Solution

    |

  20. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |