A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (B

Question

3 years ago

5

A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (B

C) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).

Mathematics

1 answer:

Serga [27] · Answer 1 · 2022-07-08T02:03:17+03:00

<em>Greetings from Brasil...</em>

a)

Let's just use Pythagoras

L² = X² + (X - 7)²

b)

If L = 13, then what is the value of X ???

L² = 2X² - 14X + 49

2X² - 14X - 120 = 0

X = 12 or X = - 5

<em>(The distance cannot be negative, so X = 12)</em>