Question

13 multiple choice 1 point solve for x. round to the nearest hundredth. 0.03 25.17 12.27 0.02

Explanation:

Step1: Identify the cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 64^{\circ}$ and the hypotenuse is 28 and the adjacent side to the angle $\theta$ is $x$. So, $\cos64^{\circ}=\frac{x}{28}$.

Step2: Solve for $x$

We know that $\cos64^{\circ}\approx0.4384$. Then $x = 28\times\cos64^{\circ}$. Substitute the value of $\cos64^{\circ}$: $x=28\times0.4384 = 12.2752$.

Step3: Round the result

Rounding $12.2752$ to the nearest hundredth gives $12.28$ (but there is a possible error in options, if we consider the closest option).

Answer:

C. 12.27