Answer:
Angle is 33.82°
Step-by-step explanation:
It is given that, from the figure below,
Vertical distance = 12 feet
Horizontal distance = 18 feet.
Using the trigonometric rule for the right triangles, we have,
[tex]\tan x=\frac{perpendicular}{base}[/tex]
i.e. [tex]\tan x=\frac{12}{18}[/tex]
i.e. [tex]\tan x=0.67[/tex]
i.e. [tex]x=\arctan 0.67[/tex]
i.e. x= 33.82°
Thus, the angle made by the path with the horizontal is 33.82°.