For the given question, we will find the value of x
As shown, there is a right angle triangle
The opposite side to the angle 2.5° = x
The adjacent side to the angle 2.5° = 5 ft
Using the tan function:
[tex]\begin{gathered} \tan 2.5=\frac{opposite}{adjacent} \\ \\ \tan 2.5=\frac{x}{5} \\ \\ \end{gathered}[/tex]
Using the cross product, the value of x will be:
[tex]x=5\cdot\tan 2.5=0.2183[/tex]
the answer will be in inches, so we will convert ft to in
so, as 1 foot = 12 inches
[tex]x=0.2183\cdot12=2.61966\text{ in}[/tex]
Rounding to the nearest tenth
so, the answer will be x = 2.6 in
