Answer:
The sine of the acute angle is [tex]0.95[/tex]
Step-by-step explanation:
using a graphing tool
see the attached figure
Let
A-----> the acute angle formed by the given line and the positive x-axis
In the right triangle XYZ
we know that
[tex]sin(A)=\frac{xy}{xz}[/tex]
we have
[tex]xy=3\ units[/tex]
[tex]yz=1\ units[/tex]
Applying the Pythagoras Theorem find the value of xz
[tex]xz^{2}=3^{2}+1^{2}\\ \\xz^{2}=10\\ \\xz=\sqrt{10}\ units[/tex]
substitute
[tex]sin(A)=\frac{3}{\sqrt{10}}=0.95[/tex]
