Answer:3.86 m
Step-by-step explanation:
Given
Length of ladder L=4 m
angle made by ladder and the ground is [tex]\theta=75^{\circ}[/tex]
we will use trigonometry here
from the figure, we can write
[tex]\sin 75^{\circ}=\dfrac{x}{L}\quad [\text{where, x=distance of the ladder from the ground}][/tex]
[tex]\Rightarrow x=L\sin 75^{\circ}\\\Rightarrow x=4\sin 75^{\circ}=3.86\ m[/tex]