Question

u6a lc#1 (w)
find the measure of the side indicated. round to the nearest tenth.
11.3
14.1
12.1
11

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta = 49^\circ$, opposite side = $x$, adjacent side = $10.5$.

Step2: Rearrange to solve for $x$

$x = 10.5 \times \tan(49^\circ)$

Step3: Calculate the value

$\tan(49^\circ) \approx 1.1504$, so $x \approx 10.5 \times 1.1504$
$x \approx 12.0792$

Step4: Round to nearest tenth

$x \approx 12.1$

Answer:

12.1