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:
[tex]cos(\theta) = \frac{b}{h}[/tex]
[tex] b = cos(\theta)*h = cos(58)*6 = 3.2 m [/tex]
Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!