Question

Find the missing sides of the following without using calculator

Answer 1

Answer:

The missing sides are 3 and 3√3

Step-by-step explanation:

Let the opposite sides be represented by x, and the other missing side be y, then

`\sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}`

Using the above, we have:

`\begin{gathered} \sin 60=(x)/(6) \\ \\ x=6\sin 60 \\ =6*\frac{\sqrt[]{3}}{2} \\ \\ =3\sqrt[]{3} \end{gathered}`

And

`\begin{gathered} \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \\ \cos 60=(y)/(6) \\ \\ y=6\cos 60 \\ =6*(1)/(2) \\ \\ =3 \end{gathered}`

The missing sides are 3 and 3√3