Question

Find p.Write your answer in simplest radical form. ___ inches.

Answer 1

The value of p is;

`p=6\sqrt[]{3}\text{ inches}`

Step-by-step explanation:

Given the figure in the attached image.

Recall that;

`\tan \theta=(opposite)/(adjacent)`

From the given figure;

`\begin{gathered} \theta=60^(\circ) \\ \text{opposite}=p \\ \text{adjacent}=6\text{ in} \end{gathered}`

substituting the values;

`\begin{gathered} \tan 60=(p)/(6) \\ p=6\tan 60 \\ p=6(\sqrt[]{3}) \\ p=6\sqrt[]{3}\text{ inches} \end{gathered}`

Therefore, the value of p is;

`p=6\sqrt[]{3}\text{ inches}`