Question

The side lengths of a 30-60-90 triangle are in the ratio 1:root3:2. What is sin 60°?

Answer 1

The diagram of the triangle is shown below

Taking 60 degrees as the reference angle,

opposite side = root 3

hypotenuse = 2

We would apply the sine trigonometeric ratio which is expressed as

`\begin{gathered} \sin \emptyset\text{ = opposite side/hypotenuse} \\ \sin \text{ 60 = }\frac{\sqrt[]{3}}{2} \end{gathered}`