Question

sin(e)= write the correct ratio (fraction) using the triangle

Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For angle \(E\), the side opposite to angle \(E\) is \(DF = 5\), and the hypotenuse is \(DE=10\).

Step2: Calculate \(\sin(E)\)

Substitute the values into the formula: \(\sin(E)=\frac{DF}{DE}\). Since \(DF = 5\) and \(DE = 10\), we have \(\sin(E)=\frac{5}{10}\). Simplify the fraction \(\frac{5}{10}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)