Question

hundredth place. c) 14 25° x

Explanation:

Step1: Use cosine function

$\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, here $\theta = 25^{\circ}$, adjacent side to $25^{\circ}$ is $x$ and hypotenuse is 14. So $\cos25^{\circ}=\frac{x}{14}$.

Step2: Solve for $x$

$x = 14\times\cos25^{\circ}$. Since $\cos25^{\circ}\approx0.9063$, then $x=14\times0.9063 = 12.6882$.

Step3: Round to hundredth place

Rounding 12.6882 to the hundredth place gives 12.69.

Answer:

$12.69$