Class 10 Exam > Class 10 Questions > A ladder rests against a vertical such that t...
Start Learning for Free
A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall?
Most Upvoted Answer
A ladder rests against a vertical such that the top of the ladder reac...
Length of the Ladder and Height of the Wall:
Given:
- The ladder is inclined at 60° with the ground.
- The bottom of the ladder is 1.5m away from the foot of the wall.
Finding the Length of the Ladder:
- The ladder, the wall, and the ground form a right-angled triangle.
- The angle between the ladder and the ground is 60°.
- The distance between the bottom of the ladder and the foot of the wall is the base of the triangle.
- The length of the ladder is the hypotenuse of the triangle.
- Using trigonometry, we can use the sine function to find the length of the ladder.
- sin(60°) = height of the wall / length of the ladder.
- height of the wall = length of the ladder * sin(60°).
- Substitute the given values to find the length of the ladder.
Finding the Height of the Wall:
- To find the height of the wall, we can use the Pythagorean theorem.
- The height of the wall is the side opposite the angle of 60° in the right-angled triangle.
- Using the Pythagorean theorem, we have (length of the ladder)^2 = (height of the wall)^2 + (1.5m)^2.
- Substitute the length of the ladder value to find the height of the wall.
Conclusion:
- The length of the ladder is calculated using trigonometry, and the height of the wall is found using the Pythagorean theorem. Make sure to substitute the given values correctly and perform the calculations accurately to find the length of the ladder and the height of the wall.
Given:
- The ladder is inclined at 60° with the ground.
- The bottom of the ladder is 1.5m away from the foot of the wall.
Finding the Length of the Ladder:
- The ladder, the wall, and the ground form a right-angled triangle.
- The angle between the ladder and the ground is 60°.
- The distance between the bottom of the ladder and the foot of the wall is the base of the triangle.
- The length of the ladder is the hypotenuse of the triangle.
- Using trigonometry, we can use the sine function to find the length of the ladder.
- sin(60°) = height of the wall / length of the ladder.
- height of the wall = length of the ladder * sin(60°).
- Substitute the given values to find the length of the ladder.
Finding the Height of the Wall:
- To find the height of the wall, we can use the Pythagorean theorem.
- The height of the wall is the side opposite the angle of 60° in the right-angled triangle.
- Using the Pythagorean theorem, we have (length of the ladder)^2 = (height of the wall)^2 + (1.5m)^2.
- Substitute the length of the ladder value to find the height of the wall.
Conclusion:
- The length of the ladder is calculated using trigonometry, and the height of the wall is found using the Pythagorean theorem. Make sure to substitute the given values correctly and perform the calculations accurately to find the length of the ladder and the height of the wall.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall?
Question Description
A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall?.
A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall?.
Solutions for A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? defined & explained in the simplest way possible. Besides giving the explanation of
A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall?, a detailed solution for A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? has been provided alongside types of A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? theory, EduRev gives you an
ample number of questions to practice A ladder rests against a vertical such that the top of the ladder reaches the top of the wall.the ladder is inclined at 60• with the ground ,and the bottom of the ladder is 1.5m away from the foot of the wall.find( i)the length of the ladder,and (ii) the height of the wall? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup