Home
Class 10
MATHS
A ladder makes an angle of 60^(@) with t...

A ladder makes an angle of `60^(@)` with the ground, when placed leaning on a wall. If the foot of the ladder is 8m away from the wall, then the length of the ladder is ………m

Text Solution

Verified by Experts

The correct Answer is:
16
Promotional Banner

Topper's Solved these Questions

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|7 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

A ladder 20 feet long is leaning against a wall. The bottom of the ladder is 16 feet away from the wall. If the upper end of the ladder slide along wall is lambda times the lower end of the ladder pull along the ground. Find the value of lambda .

A ladder rests against a frictionless vertical wall, with its upper end 6 m above the ground and the lower end 4 m away from the wall. The weight of the ladder is 500 N and its CG at 1//3^(rd) distance from the lower end. Wall's reaction will be (in newton)

An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work (see the given figure). What should be the length of the ladder that she should use which, when inclined at an angle of 60^(@) to teh horizontal, would enable her to reach the required position? Also, how far from the foot of the pole shoudl she place the foot of the ladder? (you may take sqrt3= 1.73 )

The angle of elevation of the top of a tower at a distance 500m from the foot is 30^(@) . Then, the height of the tower is ………m.

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle ofelevation of the top of the statue is 60^(@) and from the same point, the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the statue.

A ladder 13m long leans against a wall. The foot of the ladder is pulled along the ground away from the wall, at the rate of 1.5m/sec. How fast is the angle theta between the ladder and the ground is changing when the foot of the ladder is 12m away from the wall.

A 10m long ladder leaning on a wall reaches the height of 5m on the wall. Then, the ladder makes a 30^(@) angle with the wall.

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.

The angle of elevation of the top of a tower from a point on the ground 30m away from the foot of the tower is 30^(@) . Then, the height of the tower is ……..m

A pole stands erect on the ground. If the angle of elevation of the top of the pole from a point 90m away from the foot of the pole is 30^(@) , find the height of the pole.

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Objective Questions
  1. A kite is flying at a height of 75m from the level ground, attached to...

    Text Solution

    |

  2. A ladder makes an angle of 60^(@) with the ground, when placed leaning...

    Text Solution

    |

  3. The angle of elevation of the top of a tower from a point on the groun...

    Text Solution

    |

  4. If the height of a man and the length of his shadow are equal, then th...

    Text Solution

    |

  5. The height of a tower is 200m. When the altitude of the Sun is 30^(@),...

    Text Solution

    |

  6. The angle of elevation of the top of a 15m high tower from a point 15m...

    Text Solution

    |

  7. The angle of depression of a boat from a 50m high bridge is 30^(@). Th...

    Text Solution

    |

  8. The angle of elevation of a bird sitting on top of a tree as seen from...

    Text Solution

    |

  9. The length of the shadow of a 10m high tree is ……..m when the angle of...

    Text Solution

    |

  10. The top of two poles of height 16m and 10m are connected by a wire. If...

    Text Solution

    |

  11. The angle of elevation of the top of a tower from a point P on the gro...

    Text Solution

    |

  12. A 1.8m tall girl stands at a distance of 4.6m from a lamp post and cas...

    Text Solution

    |

  13. The angle of elevation of the top of a tower at a distance 500m from t...

    Text Solution

    |

  14. A tower stands on a horizontal plane. The shadow of the tower when the...

    Text Solution

    |

  15. The angle of elevation of the top of a tower from a point 30m away fro...

    Text Solution

    |

  16. The height of a tower is 10m. What is the length of its shadow when th...

    Text Solution

    |

  17. An observer, 1.5m tall, is 28.5m away from a 30m high tower. Determine...

    Text Solution

    |

  18. An observer 1.7m tall, is 20 sqrt3m away from a tower. The angle of el...

    Text Solution

    |

  19. The angle of elevation of the top of an adjustable pole from a point o...

    Text Solution

    |

  20. The two towers of heights x and y, standing on level ground, subtend a...

    Text Solution

    |