Question

In the right triangle shown, mZJ = 60° and JL = 6V3. J K 60° 6V3 How long is? Choose 1 answer:32√33√369

Answer 1

`x=JK=3\sqrt[]{3}`

Step-by-step explanation

Let

angle=60

hypotenuse= 6 square root(3)

adjancent side=x=JK

now ,use cosinde function

`\cos \emptyset=\frac{adjacent\text{ side}}{hypotenuse}`

replace

`\begin{gathered} \cos \text{ 60=}\frac{x}{6\sqrt[]{3}} \\ \text{Multiply both sides by 6}\sqrt[]{3} \\ 6\sqrt[]{3}\cos \text{ 60=}\frac{x}{6\sqrt[]{3}}\cdot6\sqrt[]{3} \\ 6\sqrt[]{3}\text{ }\cdot\text{0.5=x} \\ x=3\sqrt[]{3} \end{gathered}`

I hope this helps you.