Question

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Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$
Here, $\theta=25^\circ$, adjacent side $x$, hypotenuse $13$.

Step2: Rearrange to solve for x

$x = 13 \times \cos(25^\circ)$

Step3: Calculate the value

First, $\cos(25^\circ) \approx 0.9063$, so $x \approx 13 \times 0.9063 = 11.7819$

Answer:

11.8 (matches option: 11.8)