Question

Keep it simple I don’t need a explanation I will give you 5 stars Automatically just put the number to the question and answer inside of it

Answer 1

We will make use of the Trigonometry ratio to solve this question.

From the figure provided;

Hypotenuse side = 6

Opposite side = y

Adjacent side = x

Given angle = 60 degrees

To find side x, the suitable Trigonometry ratio to be used is the Cosine.

Thus, we have;

`\begin{gathered} \text{Cos}\theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \text{Cos}60=(x)/(6) \\ \text{cross}-\text{multiply} \\ x=6*\cos 60 \\ x=6*0.5 \\ x=3 \end{gathered}`

To find side y, the suitable Trigonometry ratio to be used is the Sine.

Thus, we have;

`\begin{gathered} Sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}} \\ \text{Sin}60=(y)/(6) \\ cross-multiply \\ y=6*\sin 60 \\ y=6*\frac{\sqrt[]{3}}{2} \\ y=3\sqrt[]{3} \end{gathered}`

Hence, the values of x and y are:

`x=3;y=3\sqrt[]{3}`