Question

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15.8
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x°
4.1

Explanation:

Step1: Identify cosine - ratio formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 37^{\circ}$, the adjacent side to the angle $\theta$ is $x$ and the hypotenuse is $15.8$.
So, $\cos37^{\circ}=\frac{x}{15.8}$.

Step2: Solve for $x$

We know that $\cos37^{\circ}\approx0.7986$. Then $x = 15.8\times\cos37^{\circ}$.
$x=15.8\times0.7986\approx12.62$.

Answer:

$x\approx12.62$