Question

a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is the base of ladder from the wall​

Answer 1

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

$cos(\theta) = \frac{b}{h}$

$b = cos(\theta)*h = cos(58)*6 = 3.2 m$

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!