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

Question

asked Jun 22, 2023 107k views

1 Answer

Baptx · Answer 1 · 2023-06-26T18:33:56+0000

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

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

By substituting the values, we will have

$\begin{gathered} \cos 30^0=(x)/(6) \\ x=6*\cos 30^0 \\ x=6*0.8660 \\ x=5.196 \end{gathered}$

Hence,

The value of YZ= 5.196