Answer:
The correct answer is option B. 4√3/3
Explanation:
Points to remember
If a right angled triangle with with angles 30°, 60° and 90° then the sides are in the ratio 1 :√3 : 2
To find the value of y
From the figure we can see two right angled triangle.
From the figure we get height 'h' of large triangle is written by,
h : base : 8 = 1 : √3 : 2
Therefore h = 8/2 = 4
Also we can write,
y : h : hypotenuse of small triangle = 1 : √3 : 2
y : 4 : hypotenuse = 1 : √3 : 2
Therefore y = 4/√3 = 4√3/3
The correct answer is option B. 4√3/3