Question

A ladder 6.5m long to s placed in a slanting position against a wall. It's top reaches a point on the wall which is 6m above the ground. Find the distance of the bottom of the ladder from the wall.​

Answer 1

Step-by-step explanation:

using the Pythagoras thearom

Answer 2

The answer is 2.5

GIVEN

A ladder 6.5m long is placed in a slanting position against a wall. It's top reaches a point on the wall which is 6m above the ground.

TO FIND

Find the distance of the bottom of the ladder from the wall.

SOLUTION

We can simply solve the above problem as follows;

We are given,

Length of ladder = 6.5 m

Height of wall = 6m

We know that, The ladder, Wall and ground between ladder and wall make a right angled triangle.

Applying Pythagorus theorem

Hypotenuse² = Base² + Altitude²

Where,

Hypotenuse = Length of ladder

Base = Ground between ladder and wall.

Altitude = Wall

Now,

6.5² = Base² + 6²

42.25 = Base² + 36

Base² = 6.25

Base = √6.25 = 2.5

Hence, The answer is 2.5

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