Find the value of y A.y= 2 B.y= 4 square root 3 /3 C.y=4 D.y= 4 square root 3

Answer:The correct answer is option B.  4√3/3Step-by-step explanation:Points to rememberIf a right angled triangle with with angles 30°, 60° and 90° then the sides are in the ratio 1 :√3 : 2To find the value of yFrom 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 : 2Therefore h = 8/2 = 4Also we can write,y : h : hypotenuse of small triangle = 1 : √3 : 2y : 4 : hypotenuse = 1 : √3 : 2Therefore y = 4/√3 = 4√3/3The correct answer is option B.  4√3/3