Class 7 Exam > Class 7 Questions > A 34 m long ladder reached a window 16 m from...
Start Learning for Free
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.
- a)40 m
- b)30 m
- c)50m
- d)10m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 34 m long ladder reached a window 16 m from the ground on placing it...
Let AB = length of ladder, AC = height of window
In ΔABC, (AB)2 = (AC)2+(BC)2
⇒ (34)2 =(16)2+BC2
or
BC2 = (34)2−(16)2 ⇒ BC2 = 1156−256 = 900
∴ BC = √900 = 30m
In ΔABC, (AB)2 = (AC)2+(BC)2
⇒ (34)2 =(16)2+BC2
or
BC2 = (34)2−(16)2 ⇒ BC2 = 1156−256 = 900
∴ BC = √900 = 30m
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A 34 m long ladder reached a window 16 m from the ground on placing it...
To solve this problem, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's consider the ladder as the hypotenuse, the distance from the foot of the ladder to the wall as one side, and the distance from the window to the ground as the other side. We can label these sides as follows:
- Hypotenuse (ladder): c = 34 m
- Side adjacent to the right angle (distance of foot of ladder from the wall): a (unknown)
- Side opposite to the right angle (distance of window from the ground): b = 16 m
Now, we can apply the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
34^2 = a^2 + 16^2
1156 = a^2 + 256
Rearranging the equation:
a^2 = 1156 - 256
a^2 = 900
Taking the square root of both sides:
a = √900
a = 30
Therefore, the distance of the foot of the ladder from the wall is 30 m, which corresponds to option B.
Let's consider the ladder as the hypotenuse, the distance from the foot of the ladder to the wall as one side, and the distance from the window to the ground as the other side. We can label these sides as follows:
- Hypotenuse (ladder): c = 34 m
- Side adjacent to the right angle (distance of foot of ladder from the wall): a (unknown)
- Side opposite to the right angle (distance of window from the ground): b = 16 m
Now, we can apply the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
34^2 = a^2 + 16^2
1156 = a^2 + 256
Rearranging the equation:
a^2 = 1156 - 256
a^2 = 900
Taking the square root of both sides:
a = √900
a = 30
Therefore, the distance of the foot of the ladder from the wall is 30 m, which corresponds to option B.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer?
Question Description
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer?.
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.a)40m b)30mc)50md)10mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 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