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

Question

3 years ago

10

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 L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.

Mathematics

2 answers:

vovikov84 [41] · Answer 1 · 2023-01-04T23:42:12+03:00

The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs

The ladder length represent the hypotenuse sides

The distance of the ladder to the base of the wall is one of the leg.

The height on the wall the 15 ft ladder reach is the other leg

Therefore,

a² = 15² - 3.5²

a² = 225 - 12.25

a = √212.75

a = 14.5859521458

a ≈ 14.6 feet

learn more on Pythagoras theorem: brainly.com/question/13734303?referrer=searchResults

ra1l [238] · Answer 2 · 2023-01-05T02:05:10+03:00

ra1l [238]3 years ago

6 0

Answer:

14.6 feet

Step-by-step explanation: