Question

I need help my last tutor gave the wrong answer

Answer 1

The value of x can be found by using the Tangent Trigonometric ratio, which is given as

$\tan \theta=\frac{\text{opp}}{\text{adj}}$

From the question, we have the following values:

$\begin{gathered} \theta=38\degree \\ \text{opp }=19 \\ \text{adj }=x \end{gathered}$

Substituting the values, we have

$\tan 38=\frac{19}{x}$

Solving, we have:

$\begin{gathered} 0.7813=\frac{19}{x} \\ \therefore \\ x=\frac{19}{0.7813} \\ x=24.31\approx24.3 \end{gathered}$

The correct answer is 24.3 units.