Home
Class 11
MATHS
A man starts his morning walk at a point...

A man starts his morning walk at a point A reaches two points B and C and finally back to A such that `angleA = 60^(@) and angleB = 45^(@),` AC = 4 km in `Delta`ABC. Find the total distance he covered during his morning walk.

Text Solution

Verified by Experts

The correct Answer is:
`(6 + 2sqrt(3) + 2 sqrt(6))` km.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.11|6 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.12|21 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.9|16 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

A man starts from a point Aand walks 5km straight ,then turns left at an angle of 60^o further walks 4km in this direction and reaches B.Find how far B is from A.

A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. Consider the situation of the previous problem. The man has to reach the other shore at the point directly opposite to his starting point. If the reaches the other shore somewhere else, he has to walk down to this point. Find the minimum distance that he has to walk.

A 1.5 m tall boy is looking at the top of a temple which is 30 meter in height from a point at certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from 30^(@) to 60^(@) as he walks towards the temple. Find the distance he walked towards the temple.

AB is a vertical pole with B at the ground level and A at the top . A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^@ . He moves away from the pole along the line BC to a point D such that CD = 7 m . from D the angle of elevation of the point A is 45 then the height of the pole is

An old person moves on a semi circulasr track of radius 40.0 m during a moirning walk. If he starts at one end of the track and reaches at the other end, find the distance covered and the displacement of the person.

A man can swim in still water ast a speed of 3 km/h. He wants to cross a river that flows at 2 km/h and reach the point directly oposite to his starting point. A. In which diretionshoeld he try to swim (that is, find the angle his body makes wilth the river flow)? b. How much time will he take to cross the river if the river is 500 m wide?

a. The top of the atmosphere is at about 400 kV with respectto the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about 100 Vm^(-1). Why then do we not get a electric shock as we step out of our house into the openy (Assume the house to be a steel cage so there is no field inside!) b. A man fixes outside his house one evening a two metre high insulating slab carrying on its top a large aluminium sheet of area 1m^(2) . Will he get an electric shock if he touches the metal sheet next morning? c. The discharging current in the atmosphere due to the small conductivity of air is known to be 1800A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged? d. What are the forms of energy into which the electrical energy of the atmosphere is dissipated during a lightning? (Hint: The earth has an electric field of about 100 Vm^(-1) at its surface in the downward direction, corresponding to a surface charge density =-10^(-9) Cm^(-2) ?.

SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.10
  1. Determine whether the following measurements produce one triangle, two...

    Text Solution

    |

  2. If the sides of DeltaABC are a = 4, b = 6 , c = 8 , then show that 4 c...

    Text Solution

    |

  3. In DeltaABC, if a = sqrt(3) - 1, b = sqrt(3) + 1 and angleC = 60^(@),...

    Text Solution

    |

  4. In any DeltaABC, prove that the area Delta = (b^(2) + c^(2) - a^(2))/(...

    Text Solution

    |

  5. In a DeltaABC, if a = 12 cm, b = 8 cm angleC = 30^(@), then show that ...

    Text Solution

    |

  6. In a DeltaABC, if a = 18 cm, b = 24 cm and c = 30 cm. then show that i...

    Text Solution

    |

  7. Two soldiers A and B in two different underground bunkers on a straigh...

    Text Solution

    |

  8. A researcher wants to determine the width of a pond from east to west,...

    Text Solution

    |

  9. Two Navy helicopters A and B are flying over the bay of Bengal at same...

    Text Solution

    |

  10. A straight tunnel is to be made through a mountain. A surveyor observe...

    Text Solution

    |

  11. A farmer wants to purchase a triangular shaped land with sides 120 fee...

    Text Solution

    |

  12. A fighter jet has to hit a small target by flying a horizontal distanc...

    Text Solution

    |

  13. A plane is 1 km from one landmark and 2 km from another. From the pla...

    Text Solution

    |

  14. A man starts his morning walk at a point A reaches two points B and C ...

    Text Solution

    |

  15. Two vehicles leave the same place P at the same time moving along two ...

    Text Solution

    |

  16. Suppose that a satellite in space, an earth station and the centre of ...

    Text Solution

    |