Question

A ladder of 3.9m length is laid against a wall. the distance between the foot of the wall and the ladder is 1.5 m. Find the height of at which the ladder touches the wall​

Answer 1

Answer:

i hope it will help you the answer is 3.6m

Answer 2

The height of the wall is 3.6 m

Explanation:

Let AB denotes the height of the wall.

Let BC denotes the distance between the foot of the wall and the ladder.

Let AC denotes the length of the ladder.

The measurements of the sides are BC = 1.5 and AC = 3.9

Using the Pythagorean theorem, we have,

$AC^2=AB^2+BC^2$

Substituting the values, we have,

$(3.9)^2=AB^2+(1.5)^2$

Simplifying, we get,

$15.21=AB^2+2.25$

$12.96=AB^2$

Taking square root, we get,

$3.6=AB$

Thus, the height of the ladder is 3.6 m

Learn more:

(1) A 26m ladder is placed against the wall in such a way that the foot of the ladder is 10 cm away from the wall. How up on the wall is the upper end of the ladder?

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(2) A 10 m long ladder is placed against a wall of a building . the foot of the ladder is 6 m away from the bottom of the building . how high against the wall does the ladder reach ?

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