Question

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

Answer 1

x = 399 m

Step-by-step 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=(x)/(500)`

Then, solving for x, we get:

`\begin{gathered} 500\cdot\cos 37=500\cdot(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