Home
Class 14
MATHS
At the foot of a mountain the elevation ...

At the foot of a mountain the elevation of its summit is `45^@`, after ascending 1000m towards the mountain up a slope of `30^@` inclination, the elevation is found to be `60^@` Find the height of the mountain.

A

1.3 km

B

1.366 km

C

2.72 km

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIME, SPEED AND DISTANCE

    QUANTUM CAT|Exercise QUESTION BANK|368 Videos

Similar Questions

Explore conceptually related problems

At the foot of a mountain the elevation of its summit is 45^(@); after ascending 1000m towards the mountain up a slope of 30^(@) inclination,the elevation is fund to be 60^(@) Find the height of the mountain.

At the foot of a mountain the elevation of its summit is 45^(@) . After ascending 600 meter towards the mountain, upon an incline of 30^(@) , the elevation changes to 60^(@) . Find the height of the mountain.

At the foot of a mountain the elevation of its summit is 45^(@) . After ascending 2000 meter towards the mountain upon an incline of 30^(@) , the elevation changes to 60^(@) . What is the height of the mountain.

At the foot of a mountain, the elevation of its summit is 45^@ . After ascending 2 km towards the mountain upon an incline of 30^@ , the elevation changes to 60^@ . The height of the mountain is

At the foot of a mountain the elevation of it's peak is found to be ((pi)/(4)) ,after ascending 'h' meters toward the mountain up a slope of (pi)/(6) inclination,the elevation is found to be (pi)/(3) .Height of the mountain is

At the foot of a mountain, the angle of elevation of its summit is 45^(@) . After ascending 1 km towards the mountain up an incline of 30^(@) , the elevatioon changes to 60^(@) (as shown in the given figure). Find the height of the mountain. [Given: sqrt3=1.73. ]

From a point on the ground, the angle of elevation of a summit is found to be 45^(@) . After walking 150mt towards the mountain, the angle of elevation of the summit is found to be 60^(@) . The height of the mountain is:

The angle of elevation of a tower at a point is 45^(@) . After going 40 m towards the foot of the tower, the angle of elevation of the tower becomes 60^(@) . Find the height of the tower.

QUANTUM CAT-TRIGONOMETRY-QUESTION BANK
  1. A vertical tower stands on a horizontal plane and surmounted by a flag...

    Text Solution

    |

  2. A round balloon of radius 'r' subtends an angle alpha at the eye of th...

    Text Solution

    |

  3. At the foot of a mountain the elevation of its summit is 45^@, after a...

    Text Solution

    |

  4. An aeroplane when 3000 m high passes vertically above another aeroplan...

    Text Solution

    |

  5. The angle of elevation of a cloud from a height h above the level of w...

    Text Solution

    |

  6. A palm tree 90 ft high, is broken by the wind and its upper part meet ...

    Text Solution

    |

  7. If 0lt theta lt 90^(@), the (sin theta+cos theta) is :

    Text Solution

    |

  8. The value of x satisfying the equation sinx+(1)/(sinx)=(7)/(2sqrt(3)) ...

    Text Solution

    |

  9. If sintheta-costheta=0 and 0ltthetalepi//2, then theta is equal to :

    Text Solution

    |

  10. Given that theta is acute and then sin theta=(3)/(5). Let x, y be posi...

    Text Solution

    |

  11. Which one of the following pairs is correctly matched?

    Text Solution

    |

  12. If ptan45^@.cos60^@=sin60^@cot60^@, then p is equal to

    Text Solution

    |

  13. If theta lies in the second quadrant, then sqrt((1-sintheta)/(1+sin th...

    Text Solution

    |

  14. cos^6A+sin^6A is equal to:

    Text Solution

    |

  15. If secx=P, cosecx=Q, then:

    Text Solution

    |

  16. sin^(2)Acos^(2)B-cos^(2)A sin^(2)B simplifies to :

    Text Solution

    |

  17. If sin2x=n sin 2y, then the value of (tan(x+y))/(tan(x-y)) is :

    Text Solution

    |

  18. The least value of 3sin^2theta+4cos^2theta is:

    Text Solution

    |

  19. The value of cot(180+theta)cot(90-theta) is:

    Text Solution

    |

  20. logtan1^@+logtan2^@+.....+logtan89^@ is :

    Text Solution

    |