Question

PART 3: Calculate the missing langth using the units glven.
11. A ladder 3m long is leant against a wall with a gap of 1m at the
bottom. How far up the wall will the ladder reach?​

Answer 1

Answer:

√8 m

Step-by-step explanation:

We can solve this using Pythagoras Theorem.

The wall and the ground will form the right angle and the ladder will be the hypotenuse.  

The formula of the theorem is

One side of right angle^2 + Other side of right angle^2 = Hypotenuse^2

Solution-

Using Pythagoras Theorem,

Let, the height up to which the ladder will reach be x m.

ATP, x^2 + 1^2= 3^2

⇒ x^2 + 1 = 9

⇒ x^2 = 9-1

⇒ x = √8

∴ The ladder will reach √8 m up the wall.