What is the value of x?
15 sqrt 3
15 over 2
5 sqrt 3
15 sqrt 2 over 2

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].