Question

find wx.
write your answer as an integer or as a decimal rounded to the nearest tenth.
wx =

Explanation:

Step1: Use trigonometric ratio (cosine)

In right - triangle \(VXW\) with \(\angle W = 40^{\circ}\) and hypotenuse \(VW=9.4\). The cosine of an angle in a right - triangle is defined as \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 40^{\circ}\), the adjacent side to \(\angle W\) is \(WX\), and the hypotenuse \(VW = 9.4\). So, \(\cos(40^{\circ})=\frac{WX}{VW}\).

Step2: Solve for \(WX\)

Since \(VW = 9.4\), we can rewrite the formula as \(WX=VW\times\cos(40^{\circ})\). We know that \(\cos(40^{\circ})\approx0.766\). Then \(WX = 9.4\times0.766\).

$$WX=9.4\times0.766 = 7.2004\approx7.2$$

Answer:

\(7.2\)