Question

A ladder 12 m long rests against a wall making an angle of

60 degree with the wall.Find the height of the point where

the ladder touches the wall.​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{answer=6√3m }}}}$

Step-by-step explanation:

Used formula:-

Sin A= Opposite side to angle A/ Hypotenuse

Answer 2

The height of the point where the ladder touches the wall is 6m.

Step-by-step explanation:

Given:

A ladder 12 m long .

Ladder making angle of  60 degree with the wall.

To Find:

The height of the point where the ladder touches the wall.

Solution:

Let the length of the ladder p.

As given,A ladder 12 m long.

P=12 m.

 As given, Ladder making angle of  60 degree with the wall.

Ladder making angle with the wall $\angle NMO$ =$60\textdegree$

et the The angle between the ladder and the ground is $\angle MON$.

           $\angle MON= 90\textdegree-60\textdegree=30\textdegree$

Let the Height of the wall is q meter.

$sin 30\textdegree=\frac{q}{p}$

$\frac{1}{2} =\frac{q}{12}$

$q=\frac{12}{2} =6m$

Thus,the height of the point where the ladder touches the wall is 6m.

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