1 Answer

Matus Dubrava · Answer 1 · 2023-05-08T13:28:14+0000

Solution:

Given the image;

The hypotenuse side of the right angle is given. Then, the opposite side to the angle is z and the adjacent side is y.

We would use the cosine ratio where;

$\cos \theta=(adjacent)/(hypotenuse)$

Then;

$\begin{gathered} \theta=22^o \\ \cos 22^o=(y)/(7) \\ y=7\cos 22^o \\ y=6.5 \end{gathered}$

Also, we would use sine ratio where;

$\sin \theta=(opposite)/(hypotenuse)$

Then;

$\begin{gathered} \sin 22^o=(z)/(7) \\ z=7\sin 22^o \\ z=2.6 \end{gathered}$

FINAL ANSWERS:

$\begin{gathered} y=6.5 \\ z=2.6 \end{gathered}$

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