Correct option is B
Given:
Initial length of ladder = 10 feet
Initial height reached by the ladder = 8 feet
Desired height after moving ladder = 9.6 feet
Concept Used:
When a ladder leans against a wall, it forms a right triangle with the wall and the ground. The length of the ladder is the hypotenuse, the height it reaches on the wall is one leg, and the distance from the wall to the base of the ladder is the other leg.
Formula Used:
Using the Pythagorean theorem for both positions:
The distance the ladder should be moved is:
\text{Distance Moved} =
Solution:
Let and represent the distances of the ladder's base from the wall in the initial and final positions, respectively.
the initial distance from the wall, :
the new distance from the wall, d_2, when the ladder reaches 9.6 feet:
Now, the distance the ladder should be moved:
Distance Moved = 6 − 2.8 = 3.2 feet
Thus, The ladder should be moved 3.2 feet closer to the wall.
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