Hello!
In the given figure we can see that it is a right angled triangle .
Where,
Perpendicular is 14
We have to find the length of the longer log i.e base (value of x)
Here we are given perpendicular and we need to find the base.
Also we have been given the value of theta = 30°
Using trigonometric ratio :
tan
As per the question we have base = x
Plugging the required values,


further solving by cross multiplication

Therefore, The value of longer leg is 14√3
Answer : Option 4