Home
Class 10
MATHS
A ladder 15 m long just reaches the top ...

A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of `60^0` with the wall, then the height of the wall is `15sqrt(3)m` (b) `(15sqrt(3))/2m` (c) `(15)/2m` (d) `15 m`

Text Solution

AI Generated Solution

To find the height of the wall using the given information about the ladder, we can follow these steps: ### Step 1: Understand the problem We have a ladder of length 15 m that reaches the top of a vertical wall and makes an angle of 60° with the wall. We need to find the height of the wall. ### Step 2: Set up the right triangle Let's denote: - \( PR \) as the length of the ladder (hypotenuse), which is 15 m. ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPES QUESTIONS|18 Videos

  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise VERY SHORT ANSWER TYPE QUESTIONS|11 Videos

  • COORDINATE GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 7.4 Long Answer Type Questions|6 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.4 Long Answer Type Questions|13 Videos

Similar Questions

Explore conceptually related problems

A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60^0 with the wall, then the height of the wall is (a) 15sqrt(3)m (b) (15sqrt(3))/2m (c) (15)/2m (d) 15 m

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 ladder is placed against a vertical tower. If the ladder makes an angle of 30^(@) with the ground and reached upto a height of 15 m of the tower, find the length of the ladder.

A ladder makes an angle of 60^0 with the ground when placed against a wall. If the foot of the ladder is 2m away from the wall, then the length of the ladder (in metres) is (a) 4/(sqrt(3)) (b) 4/(sqrt(3)) (c) 2sqrt(2) (d) 4

The length of a rectangle is three times of its width. If the length of the diagonal is 8sqrt(10)m , then the perimeter of the rectangle is: (a) 15sqrt(10)\ m (b) 16sqrt(10)\ m (c) 24sqrt(10)\ m (d) 64 m

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

A ladder 17m long reaches a window of a building 15m above the ground. Find the distance of the foot of the ladder from the building.

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.