The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the
height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall? 11.5 feet 13.1 feet 14.6 feet 15.4 feet
2 answers:
Answer: 14.6 feet
Step-by-step explanation:
Since, here a ladder which has the length 15 foot and it is far from the base of the wall by 3.5 feet.
Here L represents the length of the ladder while d represents the distance of the ladder from the base of the wall. ( shown in figure)
While h represents height that the ladder reaches up the wall.
Thus, L= 15 foot, d= 3.5 foot
Then on applying Pythagoras theorem,
⇒
⇒
⇒
⇒≈ 14.6 foot
Thus,height that the ladder reaches up the wall= 14.6 foot ( approx)
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