Question

Which expression represents the height of the triangular base of the pyramid?

Answer 1

The angle in the triangle = 60 degrees 

so  tan 60  = h / (1/2) s =  2h /s
sqrt3 = 2h / s

h =   sqrt3 s / 2


B is the correct choice

Answer 2

Answer:

Option B. is the correct option.

Step-by-step explanation:

Triangular base of the pyramid is an equilateral triangle. So, every angle of the triangle will be 60°

Length of the edge of this triangular base is S. In the figure attached we can see an equilateral triangle ABC with a side S and every angle = 60°

Now in ΔABC

tan60° = $\frac{Height}{Base}$

√3 = $\frac{AD}{\frac{S}{2}}$

AD = $\sqrt{3}(\frac{S}{2})=\frac{S\sqrt{3}}{2}$

Therefore, Option B. $\frac{S\sqrt{3}}{2}$  is the correct option.