Question

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

Answer 1

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}`