Question

question 15
5 pts
find the missing side. round to the nearest tenth.
x=
24°
12

Explanation:

Step1: Identify the trigonometric ratio

We use the tangent function since $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 24^{\circ}$, adjacent side is $12$ and opposite side is $x$. So $\tan(24^{\circ})=\frac{x}{12}$.

Step2: Solve for $x$

We know that $\tan(24^{\circ})\approx0.4452$. Then $x = 12\times\tan(24^{\circ})$. Substituting the value of $\tan(24^{\circ})$, we get $x=12\times0.4452 = 5.3424$.

Step3: Round the result

Rounding $5.3424$ to the nearest tenth gives $5.3$.

Answer:

$5.3$