Question

Find the missing the side length leave the answer as radical form. Question 3.

Answer 1

In order to calculate the value of x, we can use the cosine relation of the angle 60°.

The cosine is equal to the length of the adjacent leg to the angle over the length of the hypotenuse.

So we have:

`\begin{gathered} \cos(60°)=(2)/(x)\\ \\ (1)/(2)=(2)/(x)\\ \\ x=4 \end{gathered}`

Now, to calculate the value of y, we can use the tangent relation of the angle 60°.

The tangent is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

`\begin{gathered} \tan(60°)=(y)/(2)\\ \\ √(3)=(y)/(2)\\ \\ y=2√(3) \end{gathered}`