Question

For AMVL, MZV = 90°, MZL = 30°, and ML = 54. What is the value of VL?

Answer 1

B) x = 27√3

Step-by-step explanation

Triangle MVL is:

It is a right triangle, where the hypotenuse is 54 and angle L is 30º. We want to find the length of the adjacent side to the given angle. Since we know the hypotenuse, we can use the cosine of the angle to find the missing side:

`\cos \angle L=(VL)/(ML)`
`\begin{gathered} \cos 30º=(x)/(54) \\ x=54\cos 30º \\ x=54\cdot\frac{\sqrt[]{3}}{2} \\ x=27\sqrt[]{3} \end{gathered}`