Home
Class 12
MATHS
A hot air balloon was tied to a point on...


A hot air balloon was tied to a point on the ground using a rope 60m long. If the rope makes an angle of `60^(@)` with the ground, how high, in meters, is the balloon above the ground level?

A

`(30)/sqrt(3)`

B

30

C

`(60)/sqrt(3)`

D

`30sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise Grib-In|32 Videos

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise PRACTICE TEST|24 Videos

  • COMPLEX NUMBERS

    ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

An electric pole is 10m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole up right. If the wire makes an angle of 45^@ with the horizontal through the foot of the pole, find the length of the wire.

The length of a string between a kite and a point on the ground is 90 metres. If the string makes an angle theta with the ground level such that tantheta=(15)/8, how high is the kite? Assume that there is no slack in the string.

Two poles standing on horizontal ground are of heights 10 meters & 40 meters respectively. The line joining their tops makes an angle of 30^(@) with the ground. The the distance (in meters) between the foot of the poles is

The angle of elevation of the bottom of a window 10 m above the ground level from a point on the ground is 30^@ A pole projecting outwards from the bottom of the window makes an angle of 30^@ with the wall. If the angle of elevation of the top of the pole observed from the same point on the ground is 60^@ , find the length of the pole to the nearest whole number.

A kite is attached to a string. Find the length of the string , when the height of the kite is 60 m and the string makes an angle 30^(@) with the ground .

A light rope fixed at one end of a wooden clamp on the ground passes over a tree branch and hangs on the other side. It makes an angle of 30^0 with the ground. A man weighing (60 kg) wants to climb up the rope. The wooden clamp can come out of the ground if an upward force greater than 360 N is applied it. Find the maximum acceleration in the upward direction with which the man can climb safely. Neglect friction at the tree branch. Take g=10 m/s^2

A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is 30^@ . Calculate the distance covered by the artist in climbing to the top of the pole.

A balloon is connected to a meteorological station by a cable of length 200 m inclined to the horizontal at an angle of 60°. Determine the height of the balloon from the ground. Assume that there is no slack in a cable. [Take sqrt3 = 1.73) .

The angle of depression between a flying kite and 'a' point on the ground is 60 m. If the string makes 30^(@) .Find the height of the kite from the ground.

A vertically straight tree, 15m high, is broken by the wind in such a way that its top just touches the ground and makes an angle of 60^@ with the ground. At what height from the ground did the tree break?

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-EXERCISE
  1. A solid cube is put in a sphere. What is the least percentage of the v...

    Text Solution

    |

  2. A circle intersects the X axis at (1,0) and (7,0). If the radius of t...

    Text Solution

    |

  3. A hot air balloon was tied to a point on the ground using a rope 60m l...

    Text Solution

    |

  4. How many points with integer coordinates lie on or inside a circle of ...

    Text Solution

    |

  5. In the figure shown above, AB and EF are parallel and measure 4 and 24...

    Text Solution

    |

  6. The imaginary number "I" is such that i^(2)=-1. Which of the followin...

    Text Solution

    |

  7. In the figure shown above, ABC is a triangle right angled at B. What i...

    Text Solution

    |

  8. Angle ADB equals 110^(@). What is the value of angle BAX if X is the c...

    Text Solution

    |

  9. What is the area of the quadrilateral ABCD as shown in the figure abov...

    Text Solution

    |

  10. Which of the following statements is/are correct about the angle(10pi)...

    Text Solution

    |

  11. In the figure GH|\|EF . What is the length of HE?

    Text Solution

    |

  12. If (PS)/(PR)=(1)/(2) , PT=6 and QS=4, what is the length of PS?

    Text Solution

    |

  13. The imaginary number "I" is such that i^(2)=-1. Which of the following...

    Text Solution

    |

  14. Matt has a garden in the shape of a right-angled triangle with one of...

    Text Solution

    |

  15. The angular elevations of a tower CD at a place A due south of it is ...

    Text Solution

    |

  16. What is the perimeter, to the nearest integer, of an equilateral tri...

    Text Solution

    |

  17. What is the area bounded by x^(2)+y^(2)-8x-6y=25,xge4 and yge3?

    Text Solution

    |

  18. 2 parallel chords 24 cm, and 18 cm, are on the same side of the centre...

    Text Solution

    |

  19. A right circular cone, with radius and height 8 and 6 respectively , ...

    Text Solution

    |

  20. PQRS is a rectangle. T is a point on RS such that ST=2. If the area of...

    Text Solution

    |