Question

question
solve for x. round to the nearest tenth, if necessary.

Explanation:

Step1: Use cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 46^{\circ}$, the adjacent side to the angle $\theta$ is $x$, and the hypotenuse is $4.1$. So, $\cos(46^{\circ})=\frac{x}{4.1}$.

Step2: Solve for $x$

We can rewrite the equation as $x = 4.1\times\cos(46^{\circ})$. Using a calculator, $\cos(46^{\circ})\approx0.6947$. Then $x = 4.1\times0.6947$.

Step3: Calculate the value

$x=4.1\times0.6947 = 2.84827\approx2.9$ (rounded to the nearest tenth).

Answer:

$2.9$