Question

For the purpose of cleaning a wall, a ladder is placed against a wall. The top of the ladder is at
a point of 16 ft. above the ground and the distance between the foot of the ladder and the wall is
12 ft. A person guessed that a 21 ft. long ladder is enough. Justify your answer.

Answer 1

Explanation

बीच" (और इसके आगे के शब्दों) को अनदेखा कर दिया गया है क्योंकि हम क्वेरी को 32 शब्दों तक सीमित रखते हैं.

Answer 2

Given: The top of the ladder is 16 ft. above the ground

           The distance between the foot of the ladder and the wall is 12 ft.

           A person guessed that a 21 ft. long ladder is enough.

To find: Justifying the answer

Solution: We can see that the ladder forms a right angled triangle with the wall and the ground.

Height of the wall = 16 ft.

Now, let the length of the ladder be x cm.

Using Pythagoras' Theorem,

x² = (height of the wall)² + (distance of the foot of the ladder from the wall)²

⇒ x² = 16² + 12²

⇒ x² = 256 + 144

⇒ x² = 400

⇒ x = √400

⇒ x = 20

Therefore, the length of the ladder is 20 ft.

Since 20<21, as the person guessed that a 21 ft. long ladder is enough, the statement is justified.