Question

In the right triangle shown, m angle Y=30^ and XY = 6 . Z х 6 30 Y How long is Y Z

Answer 1

to find the value of XZ, we will use the trigonometric ratio

$\begin{gathered} \cos \theta=\frac{adjacent}{hypotenus} \\ \theta=30^0 \\ \text{adjacent}=x \\ \text{hypotenus}=6 \end{gathered}$

By substituting the values, we will have

$\begin{gathered} \cos 30^0=\frac{x}{6} \\ x=6\times\cos 30^0 \\ x=6\times0.8660 \\ x=5.196 \end{gathered}$

Hence,

The value of YZ= 5.196