Question

4)
37°
12
9.0

Explanation:

Step1: Use the tangent function

The tangent of an angle in a right - triangle is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 37^{\circ}$, the adjacent side is $12$, and the opposite side is $x$. So, $\tan37^{\circ}=\frac{x}{12}$.

Step2: Solve for $x$

We know that $\tan37^{\circ}\approx0.75$. Then, $x = 12\times\tan37^{\circ}$. Substituting the value of $\tan37^{\circ}$, we get $x=12\times0.75$.

Answer:

$9.0$