Question

find the value of x.
14
73°
x
x ≈
(round to the nearest tenth as needed.)

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=73^\circ$, opposite side = $x$, adjacent side = $14$.

Step2: Rearrange to solve for x

$x = 14 \times \tan(73^\circ)$

Step3: Calculate value

First find $\tan(73^\circ) \approx 3.2709$, then:
$x \approx 14 \times 3.2709$

Answer:

$x \approx 45.8$