Question

Determine the value of x.Question options:A) 0.02B) 70.57C) 3.22D) 44.78

Answer 1

You can identify that the triangle is a Right Triangle because it has an angle that measures 90 degrees.

Then, you can use the following Trigonometric Function:

$\tan \beta=\frac{opposite}{adjacent}$

In this case:

$\begin{gathered} \beta=15\degree \\ opposite=12 \\ adjacent=x \end{gathered}$

Therefore, substituting values and solving for "x", you get:

$\begin{gathered} \tan (15\degree)=\frac{12}{x} \\ \\ x\cdot\tan (15\degree)=12 \\ \\ x=\frac{12}{\tan (15\degree)} \\ \\ x\approx44.78 \end{gathered}$

Hence, the answer is: Option D.