A 25 m ladder is placed against a vertical wall of a building. The foot of the ladder is 7 m from the base of the building. If the top of the ladder slips 4m, then the foot of the ladder will slide by:

Question

Filo · Accepted Answer

The ladder forms a right angled triangle with the wall and the base with length of the ladder being the length of hypotenuse of this triangle.Hypotenuse =25 mBase =7 mHeight =252−72=24 m Now the ladder slides. In the new position, the hypotenuse of the new right angled triangle will be the same. The top slides down by a distance 4m. Hence, the height is 24−4=20 m. Let the base slide by a distance x. Therefore, hypotenuse =25 mBase =(7+x) mHeight =20 mBy Pythagoras Theorem, we get252−202=(7+x)2∴(7+x)=15Hence, x=8The correct answer is Option B.

Question Text	A $25$ m ladder is placed against a vertical wall of a building. The foot of the ladder is $7$ m from the base of the building. If the top of the ladder slips $4$ m, then the foot of the ladder will slide by:
Answer Type	Text solution:1
Upvotes	150

A $25$ m ladder is placed against a vertical wall of a building. The foot of the ladder is $7$ m from the base of the building. If the top of the ladder slips $4$ m, then the foot of the ladder will slide by:

Text solutionVerified

Practice questions from similar books