Question

Find the value of y and z using trigonometry ratio. Round to two significant figures.

Answer 1

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;

$\cos \theta=\frac{adjacent}{hypotenuse}$

Then;

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

Also, we would use sine ratio where;

$\sin \theta=\frac{opposite}{hypotenuse}$

Then;

$\begin{gathered} \sin 22^o=\frac{z}{7} \\ z=7\sin 22^o \\ z=2.6 \end{gathered}$

FINAL ANSWERS:

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