Question

Can someone help me?

Answer 1

Answer:

Step-by-step explanation:

All the interior angles are of measure 60 degrees.

We want to find the height of this triangle.  Call it h.  On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.

The ratio of height to base is the tangent of 60 degrees:

                                    h

tan 60 degrees = --------------

                                     5

                                                  h

and tan 60 degrees = 1.73  = ------

                                                   5

Multiplying both sides of this equation by 5 yields h = 8.66.  This is |BD|.  This is the same as Answer B.