Home
Class 12
MATHS
A man is walking at the rate of 6.5 km/h...

A man is walking at the rate of 6.5 km/hr towards the foot of a tower 120m high. At what rate is he approaching the top of the tower when he is 5m away from the tower?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the Pythagorean theorem and related rates. ### Step 1: Understand the problem We have a tower that is 120 meters high, and a man is walking towards the foot of the tower at a speed of 6.5 km/hr. We need to find out how fast he is approaching the top of the tower when he is 5 meters away from it. ### Step 2: Set up the variables - Let \( x \) be the horizontal distance from the man to the tower. - Let \( y \) be the distance from the man to the top of the tower. ...
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a hill at the foot of a tower is 60^@ and the angle of elevation of the top of the tower from the foot of the hill is 30^@ . If the tower is 50 m high, what is the height of the hill?

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

A man 160 cm tall, walks away from a source of light situated at the top of a pole 6m high at the rate of 1.1 m/sec. How fast is the length of his shadow increasing when he is 1 metre away from the pole.

From a point on the ground, 20m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 60^@ , what is the length of the tower?

From the top of a 7 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of the foot of the tower is 30°. Find the height of the tower.

The angle of elevation of the top of the building from the foot of the tower is 30^o and the angle of the top of the tower from the foot of the building is 60^o . If the tower is 50m high, find the height of the building.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^@ , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^@ . Find the time taken by the car to reach the foot of the tower from this point.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^@ , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^@ . Find the time taken by the car to reach the foot of the tower from this point.

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

    Text Solution

    |

  2. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

    Text Solution

    |

  3. A man is walking at the rate of 6.5 km/hr towards the foot of a tower ...

    Text Solution

    |

  4. A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street lig...

    Text Solution

    |

  5. An airforce plane is ascending vertically at the rate of 100 km/h. ...

    Text Solution

    |

  6. Find an angle theta, 0 lt theta lt pi/2, which increases twice as fast...

    Text Solution

    |

  7. The volume of a cube is increasing at a rate of 7c m^3//s ec How fast ...

    Text Solution

    |

  8. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

  9. Two men Pa n dQ start with velocity u at the same time from the juncti...

    Text Solution

    |

  10. Water is dripping out from a conical funnel of semi-vertical angle pi/...

    Text Solution

    |

  11. An inverted cone has a depth of 10cm and a base of radius 5cm. Water i...

    Text Solution

    |

  12. A kite is moving horizontally at the height of 151.5 meters. If the ...

    Text Solution

    |

  13. in a sphere the rate of change of surface area is (A) 8π Times the Rat...

    Text Solution

    |

  14. If the area of circle increases at a uniform rate, then prove that the...

    Text Solution

    |

  15. An edge of a variable cube is increasing at the rate of 10cm/sec. How ...

    Text Solution

    |

  16. A swimming pool is to be drained by cleaning. If L represents the n...

    Text Solution

    |

  17. If x and y are the sides of two squares such that y=x-x^2. Find the ch...

    Text Solution

    |

  18. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  19. The balloon, which always remains spherical, has a variable diameter 3...

    Text Solution

    |

  20. A balloon, which always, remains spherical, has a variable radius. Fin...

    Text Solution

    |