Home
Class 12
MATHS
The angle of elevation of an object from...

The angle of elevation of an object from a point P on the level ground is a. Moving d metres on the ground towards the object, the angle of elevation is found to be `beta`. Then the height (in metres) of the object is

A

`d tan alpha`

B

`d cot beta`

C

`(d)/(cot alpha+ cot beta)`

D

`(d)/(cot alpha - cot beta)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    SIA PUBLICATION|Exercise Problems|41 Videos
  • QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS

    SIA PUBLICATION|Exercise Problems|71 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of an object from a point P on the level ground is alpha . Moving d metres on the ground towards the object, the angle of elevation is found to be beta . Then the height (in metres -of the object is

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 elevation of a tower from a point on the same level as the foot of the tower is 30^@ on advancing 150 meters towarsd the foot of the tower, the angle of elevation of the tower becomes 60^@ . Find the height of the tower.

From a point on the level ground, the angle of elevation of the top of a pole is 30^@ . On moving 20 metres nearer, the angle of elevation is 45^@ . Then the height of the pole, in metres , is

The angle of elevation of an electric pole from a point A on the ground is 60^(@) and from a Point B towards the pole on the line joining the foot of the pole to the point A, is 75^(@) . If the distance AB = a, then the height of the pole is

The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30^@ . After walking 120 metres towards it on level ground the elevation is found to be 60^@ . Then the height of the object (in metres ) is

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, is

The angle of elevation of a jet plane from a point A on the ground is 60^(@) . After a flight of 15 seconds, the angle of elevation changes to 30^(@) . If the jet plane is flying at a constant height of 1500 sqrt(3) meter, find the speed of the jet plane. (sqrt(3) - 1.732)

The angle of elevation of a jet plane from a point A on the ground is 60^(@) . After a flight of 15 seconds, the angle of elevation changes to 30^(@) . If the jet plane is flying at a constant height of 1500sqrt(3) m, find the speed ot the jet plane.

SIA PUBLICATION-PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES-Problems
  1. In a DeltaABC,(a+b+c)(tan""A/2+tan""B/2)=

    Text Solution

    |

  2. In triangleABC, with usual notation, ovserve the two statement given b...

    Text Solution

    |

  3. The angle of elevation of an object from a point P on the level ground...

    Text Solution

    |

  4. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  5. The angles of a triangle are in the ratio 3:5:10. Then the ratio of th...

    Text Solution

    |

  6. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  7. The elevation of an object on a hill is observed from a certain point...

    Text Solution

    |

  8. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

    Text Solution

    |

  9. Two sides of a triangle are given by the roots of the equation x^2-5x+...

    Text Solution

    |

  10. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

    Text Solution

    |

  11. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  12. IF in a Delta ABC, r3=r1+r2+r, then angle A+ angle B=

    Text Solution

    |

  13. In a triangleABC, (a-b)^2 cos^2(C )/(2)+(a+b)^2 sin^2(C )/(2) is equal...

    Text Solution

    |

  14. In a triangleABC, the correct formulae, among the following are I r...

    Text Solution

    |

  15. An aeroplane flying with uniform speed horizontally one kilometer abov...

    Text Solution

    |

  16. In Delta ABC, if r1 lt r2 lt r3 then

    Text Solution

    |

  17. In Delta ABC if b=20,c=21 and sin A=3//5, then a=

    Text Solution

    |

  18. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

  19. If the altitudes of a triangle are in arithmetic progression, then the...

    Text Solution

    |

  20. In Delta ABC, (cos C+ cos A)/(c+a)+(cos B)/b=

    Text Solution

    |