Home
Class 10
MATHS
Foot of a 10 m long ladder leaning again...

Foot of a 10 m long ladder leaning against a verticle wall is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.

Text Solution

AI Generated Solution

To solve the problem, we will use the Pythagorean theorem, which relates the lengths of the sides of a right triangle. ### Step-by-Step Solution: 1. **Identify the components of the triangle**: - Let the length of the ladder be \( AB = 10 \) m (hypotenuse). - Let the distance from the wall to the foot of the ladder be \( BC = 6 \) m (base). - Let the height at which the ladder touches the wall be \( AC = h \) (perpendicular). ...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|18 Videos

  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Typw Questions|12 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

A 6.5 m long ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall. Find the height of the wall where the top of the ladder touches it

A ladder 3.7 m long is placed against a wall in such a way that the foot of the ladder is 1.2 m away from the wall. Find the height of the wall to which the ladder reaches.

A foot of a ladder leaning against the wall of a house is 4 feet from the base of the wall. If the ladder makes a 30^@ angle with the wall, what is the length, in feet, of the ladder ?

A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m from the foot of the wall, find the distance of the other end of the ladder from the ground.

A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m from the foot of the wall, find the distance of the other end of the ladder from the ground.

A 10 m long ladder is placed against a wall in such a way that the foot of the ladder is 6 m away from the wall. Up to what height does the ladder reach the wall ?

A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder.

The angle of elevation of a ladder leaning against a wall is 60^@ and the foot of the ladder is 9.5m away from the wall. Find the length of the ladder.

A 3m along ladder weighing 20 kg leans on a frictionless wall. Its feet rest on the floor 1 m from the wall. Find the rection forces of the wall and the floor.

A 3m along ladder weighing 20 kg leans on a frictionless wall. Its feet rest on the floor 1 m from the wall. Find the rection forces of the wall and the floor.