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

Write an equation that represents the relationship between JK and KL?-example-1
User Hamid
by
8.2k points

2 Answers

3 votes

Answer:
(√(3) )/(2)

Explanation:

User Hillcow
by
7.9k points
4 votes

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

User Theowi
by
8.1k points

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