Question

what is the length of side x? 6.57 cm 26.33 cm 7.44 cm 7 cm

Explanation:

Step1: Identify trigonometric ratio

The triangle is right-angled, with angle 28°, adjacent side 14 cm, and opposite side x. Use $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Substitute values

$\tan(28^\circ)=\frac{x}{14}$

Step3: Solve for x

$x=14\times\tan(28^\circ)$

Step4: Calculate the value

$\tan(28^\circ)\approx0.5317$, so $x\approx14\times0.5317\approx6.57$ cm.

Answer:

6.57 cm