Home
Class 12
MATHS
From the top of a hill h metres high the...

From the top of a hill h metres high the angles of depression of the top and the bottom of a pillar are `alpha` and `beta` respectively. The height (in metres ) of the pillar is

A

`(h (tan beta - tan alpha))/(tan beta)`

B

`(h (tan alpha - tan beta))/(tan alpha)`

C

`(h (tan beta +tan alpha))/(tan beta)`

D

`(h (tan beta + tan alpha))/(tan alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

From te top of a tower , 60 meters high, the angles of depression of the top and bottom of a pole are alpha and beta respectively .Find the height of the pole.

As seen from the top of fort of height a metre the angle of depression of the upper and the lower end of a lamp post are alpha and beta , respectively. The height of the lamp post is :

From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30^(@) and 45^(@) respectively. What is the height of the tree?

From the top of a building 60 metre high ,the angles of depression of the top and bottom of a tower are observed to be 30^(@)and60^(@) respectively.The height of the tower in metre is :

From the top of a cliff 90 metre high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) respectively. The height of the tower is:

If from the top of a tower of 60 metre heigh, the angles of depression of the top and floor of a house are alpha and beta respectively and if the height of the house is,(60sin(beta-alpha))/(x), thenx x=

If from the top of a tower 80 meters high the angles of depression of the top and bottom of a house are 30^(@) and 45^(@) respectively, then the height of the house is

From the top of a 50m high tower,the angles of depression of the top and bottom of a pole are observed to be 45o and 60o respectively. Find the height of the pole.

From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are 45^@ and 60^@ respectively. The height of the tower 100 मी. ऊँची चोटी से किसी टॉवर के शीर्ष तथा आधार के अवनमन क्रोण क्रमश: 45^@ और 60^@ हैं टॉवर की ऊँचाई ज्ञात करें ?

BITSAT GUIDE-TRIGONOMETRY-BITSAT Archives
  1. If DeltaABC " if" angleA = pi/2 " then" cos^(2)B + cos^(2) C equals

    Text Solution

    |

  2. In Delta ABC, if (cos A)/(a)=(cos B)/(b)=(cos C)/(c ) and a=2, then ar...

    Text Solution

    |

  3. A longer side of a parallelogram is 10 cm and the shorter is 6 cm. If ...

    Text Solution

    |

  4. The value of sqrt3 cosec20^@-sec20^@ is equal to:

    Text Solution

    |

  5. If tan theta + tan (theta + (pi)/(3)) + tan (theta +(2 pi)/(3))=3 then...

    Text Solution

    |

  6. {x inR:cos2x+2cos^(2)x=2} is equal to

    Text Solution

    |

  7. If sin^(-1)((3)/(x))+sin^(-1)((4)/(x))=(pi)/(2), then x is equal to

    Text Solution

    |

  8. In DeltaABC, if (1)/(b+c)+(1)/(c+a)=(3)/(a+b+c), then C is equal to

    Text Solution

    |

  9. In a triangle , if r(1) = 2r(2) = 3r(3), then a/b + b/c + c/a is equa...

    Text Solution

    |

  10. From the top of a hill h metres high the angles of depression of the t...

    Text Solution

    |

  11. The number of solutionsof the equation 1 +sin x sin^2 ""(x)/2 = 0 i...

    Text Solution

    |

  12. The solution set of the equation sin^(-1)x=2 tan^(-1)x is

    Text Solution

    |

  13. If cos A + cos B =a, and sin A + sin B = b where a,b cancel(=)0, then ...

    Text Solution

    |

  14. In Delta ABC ,(a-b)^(2)cos ^(2) (c )/(2) +(a+b)^(2) sin ^(2)""(c )/(2...

    Text Solution

    |

  15. The horizontal distance between two towers is 60 m and the angle of de...

    Text Solution

    |

  16. If 12 cot^(2) theta-31 cosec theta +32=0, then the value of sin theta ...

    Text Solution

    |

  17. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  18. In Delta ABC, if the sides are a=3, b=5 and c=4, then sin ""(B)/(2)+ c...

    Text Solution

    |

  19. sin^(-1)(1-x)-2 sin^(-1)x=(pi)/(2), then x is equal to

    Text Solution

    |

  20. If theta is an acute angle and sin"" ( theta )/( 2) = sqrt((x-1)/( 2x)...

    Text Solution

    |