Better Students Ask More Questions.
A ladder 7 m long reaches a window 5 m above the ground. Find the distance of the foot...
1 Answer | add yours
The length of the ladder is 7 m. It is placed on the ground beside a wall such that the top reaches a window at a height of 5 m above the ground. The distance of the foot of the ladder from the base of the wall has to be determined.
The ladder, the wall and the ground form a right angled triangle with the ladder as the hypotenuse. Let the distance of the base of the ladder from the wall be x. Using the Pythagorean theorem, x^2 + 5^2 = 7^2
=> x^2 = 49 - 25
=> x^2 = 24
=> x = `2*sqrt 6`
The distance of the foot of the ladder from the base of the wall is `2*sqrt 6` m
Posted by justaguide on June 6, 2013 at 6:07 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.