Question

Write an equation that represents the relationship between JK and KL?

Answer 1

Answer:
`(√(3) )/(2)`

Explanation:

Answer 2

Given the figure in the attached image.

The triangle JKL is a right-angled triangle.

Applying trigonometry;

`\cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}`

Given;

`\begin{gathered} \theta=30^(\circ) \\ \text{adjacent = }JK \\ \text{hypotenuse = KL} \end{gathered}`

Substituting the given values;

`\begin{gathered} \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \cos 30=(JK)/(KL) \end{gathered}`

Cross multiply;

`JK=(\cos 30)KL`

Recall that;

`\cos 30=\frac{\sqrt[]{3}}{2}`

So, we have;

`\begin{gathered} JK=(\cos 30)KL \\ JK=\frac{\sqrt[]{3}}{2}KL \end{gathered}`

Therefore, the equ