Home
Class 10
MATHS
A ladder of length 6 m makes an angle of...

A ladder of length 6 m makes an angle of `45^(@)` with the floor while leaning against one wall of a room. If the foot of the ladder is kept fixed on the floor and it is made to lean against the opposite wall of the room, it makes an angle `60^(@)` with the floor. Find the distance between these two walls of the room.

Text Solution

Verified by Experts

The correct Answer is:
7.23 m
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (LONG ANSWER TYPE QUESTIONS )|7 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HOTS (HIGHER ORDER THINKING SKILLS ) QUESTIONS)|11 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (SHORT ANSWER TYPE-1 QUESTIONS )|5 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

Similar Questions

Explore conceptually related problems

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

A ladder 5cm long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall at the rate of 2cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 4m away from the wall?

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?

A ladder 5 m long is leaning against a well. The bottom of the ladder is pulled along the ground, away from the well, at the rate of 2 m/s. How fat is its height on the wall decreasing when the foot of the ladder is 4m away from the wall?

From the top of a light house, angles of depression of two ships are 45^(@) and 60^(@) . The ships are on opposite sides of the ight house and in line with its foot. If the distance between the ships is 400 m, find the height of the light house.

A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10cm/sec then the rate at which the angle between the floor and the ladder is decreasing when lower end of the ladder is 2 meters from the wall is

A ladder of length 2.6m is leaned against a wall. When it is at distance of 2.4 m from the foot of the wall, the top of the ladder touches the bottom edge of the window in the wall. It the foot of the ladder is moved 1.4 m towards the wall, it touches the top edge of the window. Find the height of the window.

A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, find the distance by which the top of the ladder would slide upwards on the wall.

A 15 m long ladder reached a window 12m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of ladder from the wall.