Home
Class 12
MATHS
A tower subtends an angle alpha at a poi...

A tower subtends an angle alpha at a point on the same level as the foot of the tower and at the second point h metres above the first the angle of depression of the base of a tower is beta The height of the tower

A

`b cot alpha . tan beta`

B

`b tan alpha . cot beta`

C

`b tan alpha . tan beta`

D

`b cot alpha . cot beta`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

From a tower 128 m high, the angle of depression of a car is 30°. Find the distance of the car from the tower

The angle of elevation of the sun, if the length of the shadow of a tower is sqrt(3) times the height of the tower is

At a point A, the angle of elevation of a tower is such that tangent is 5/12, on walking 240 m nearer the tower, the tangent of the angle of elevation is 3/4 Then the height in m) of the tower is:

The angle of elevation of a cloud from a point h metres above the surface of a lake is alpha and the angle of depression of its reflection in the lake is beta then the height is :

From the top and bottom of a building of height h metres, the angles of elevation of the top of a tower are alpha and beta respectively. Then the height of the tower is :

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@) .Determine the height of the tower.

The angle of depression of the top of a tower at a point 70mts from the base is 45^(circ) , Then the height of the tower is

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If A+B+C=pi, prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

    Text Solution

    |

  2. If any triangle A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=

    Text Solution

    |

  3. A tower subtends an angle alpha at a point on the same level as the fo...

    Text Solution

    |

  4. Two poles are 25 metres and 15 metres high and the line joining their ...

    Text Solution

    |

  5. The tops of two poles of height 20 mt and 14 mt are connected by a wir...

    Text Solution

    |

  6. The angle of elevation of the sun, if the length of the shadow of a to...

    Text Solution

    |

  7. If two towers of heights h(1) and h(2) subtend angles 60^(o) and 30^(c...

    Text Solution

    |

  8. The angle of depression of the top of a tower at a point 70mts from th...

    Text Solution

    |

  9. The horizontal distance between two towers is 60mts. The angular eleva...

    Text Solution

    |

  10. In the triangle A B C, hat(A)=30^(circ), hat(C)=105^(circ) and b=3 sqr...

    Text Solution

    |

  11. In the triangle A B C, hat(A)=75^(circ), hat(B)=45^(circ), c=sqrt(3), ...

    Text Solution

    |

  12. In the triangle A B C, hat(A)=120^(circ), b=2, hat(C)=30^(circ) then a...

    Text Solution

    |

  13. In a triangle ABC b=sqrt(3), c=1, A=30^(circ) then the largest angle o...

    Text Solution

    |

  14. If the angles of a triangle are in the ratio 1 : 2 : 3, then the sides...

    Text Solution

    |

  15. The angles A,B and C of a triangle ABC are in A.P. If b:c=sqrt(3):sqrt...

    Text Solution

    |

  16. In a triangle A B C, hat(A)=45^(circ), hat(B)=75^(circ), then a+c sqrt...

    Text Solution

    |

  17. If in a triangle A B C, a=5, b=4, A=(pi)/(2)+B, then the value of C is

    Text Solution

    |

  18. If the sides of a triangle are x^(2)+x+1, x^(2)-1 and 2 x+1 then the l...

    Text Solution

    |

  19. If in a triangle ABC, acos^(2).(C)/(2)+c cos^(2).(A)/(2)=(3b)/(2), the...

    Text Solution

    |

  20. In a triangle A B C, if cot A, cot B, cot C are in A.P, then a^(2), b^...

    Text Solution

    |