Question

find the value of x. (figure is not to scale).
10.9
57.1°
x
x =
units
round to the hundredths place (0.01)

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=57.1^\circ$, opposite side $=x$, adjacent side $=10.9$

Step2: Rearrange to solve for x

$x = 10.9 \times \tan(57.1^\circ)$

Step3: Calculate the value

First find $\tan(57.1^\circ)\approx1.5514$, then:
$x \approx 10.9 \times 1.5514$
$x \approx 16.91$

Answer:

16.91 units