Answer:
The value of p is;
[tex]p=6\sqrt[]{3}\text{ inches}[/tex]
Explanation:
Given the figure in the attached image.
Recall that;
[tex]\tan \theta=\frac{opposite}{adjacent}[/tex]
From the given figure;
[tex]\begin{gathered} \theta=60^{\circ} \\ \text{opposite}=p \\ \text{adjacent}=6\text{ in} \end{gathered}[/tex]
substituting the values;
[tex]\begin{gathered} \tan 60=\frac{p}{6} \\ p=6\tan 60 \\ p=6(\sqrt[]{3}) \\ p=6\sqrt[]{3}\text{ inches} \end{gathered}[/tex]
Therefore, the value of p is;
[tex]p=6\sqrt[]{3}\text{ inches}[/tex]
