Question

A ladder 3m leans against a wall. The foot of the ladder is 80cm from the wall. The distance the ladder reaches up the wall is:

Answer 1

Answer:

d

Step-by-step explanation:

hope this helps :)

Answer 2

The distance the ladder reaches up the wall is 289 cm. The correct option is E  289 cm

Pythagoras' theorem

The Pythagoras' theorem states that, in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides

Let the length of the ladder be l

The distance of the foot of the ladder from the wall be f

and the distance the ladder reaches up the wall be h

By applying Pythagoras' theorem, we can write that

l² = f² + h²

From the given information,

l = 3m = 300 cm

f = 80 cm

Putting the parameters into the equation, we get

300² = 80² + h²

90000 = 6400 + h²

Then,

h² = 90000 - 6400

h² = 83600

∴ h = √83600

h = 289.1366

h ≅ 289 cm

Hence, the distance the ladder reaches up the wall is 289 cm. The correct option is E  289 cm

Learn more on Pythagoras' theorem here: https://brainly.com/question/14355334

#SPJ2