Respuesta :

30 60 90 right triangle
ratio of short leg : long leg = a : a√3 
so if log leg = 15, short leg x = 5√3

answer
C.  5√3

Answer:

(C)

Step-by-step explanation:

It is given in a right angled triangle, the angles are 60° and 30° an the base side of the triangle is 15.

We have to find the value of x.

Thus, using the trigonometry in the given right angled triangle, we have

[tex]\frac{x}{15}=tan30^{\circ}[/tex]

⇒[tex]\frac{x}{15}=\frac{1}{\sqrt{3}}[/tex]

⇒[tex]x=\frac{15}{\sqrt{3}}[/tex]

⇒[tex]x=\frac{5{\times}3}{\sqrt{3}}[/tex]

⇒[tex]x=5\sqrt{3}[/tex]

Thus, the value of x is [tex]5\sqrt{3}[/tex].