Question

I need the number of my the x and I have no idea how to solve it help me.

Answer 1

Answer:

x = 399 m

Explanation:

The cosine of an angle A can be calculated as:

$\cos A=\frac{Adjacent\text{ Side}}{Hypotenuse}$

In this case, the angle is 37°, its adjacent side is x and the hypotenuse is 500m. So, we can write the following equation:

$\cos 37=\frac{x}{500}$

Then, solving for x, we get:

$\begin{gathered} 500\cdot\cos 37=500\cdot\frac{x}{500} \\ 500\cdot\cos 37=x \end{gathered}$

Since cos 37 = 0.79, the value of x rounded to the nearest whole is:

$\begin{gathered} 500\cdot(0.79)=x \\ 399.31=x \\ 399\text{ m }\approx x \end{gathered}$

Therefore, the answer is x = 399 m