Answer: [tex]307.11\ ft[/tex]
Step-by-step explanation:
Given
The height of hill is 120 ft and the angle of elevation is [tex]23^{\circ}[/tex]
Suppose the length of the road is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft[/tex]
Thus, the length of the road is [tex]307.11\ ft[/tex]
