Question

st tenth.
2)
6
73°
x

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 73^{\circ}\), the hypotenuse \(c = 6\), and the adjacent side to the angle \(73^{\circ}\) is \(x\). So, \(\cos(73^{\circ})=\frac{x}{6}\).

Step2: Solve for \(x\)

Multiply both sides of the equation \(\cos(73^{\circ})=\frac{x}{6}\) by \(6\). We get \(x = 6\times\cos(73^{\circ})\).
Since \(\cos(73^{\circ})\approx0.292\), then \(x = 6\times0.292=1.752\approx1.8\).

Answer:

\(x\approx1.8\)