Find the value of y a. y= 2 b. y= 4 square root 3 /3 c. y=4 d. y= 4 square root 3

The correct answer is option B.  4√3/3

Step-by-step 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