1A) For the right triangle from the middle of one edge to the center of the base, the side "adjacent" to the angle is (82 m)/2 = 41 m. The height is the side of that triangle that is "opposite" to the angle. You know from your trig definitions that
.. tan(52°) = "opposite"/"adjacent"
.. tan(52°) = height/(41 m)
.. height = (41 m)*tan(52°) ≈ 52 m . . . . . . . 3rd selection
1B) Same deal.
.. tan(52°) = height/(side/2) = 2*height/side
.. side = 2*147 m/tan(52°) ≈ 230 m . . . . . . 4th selection
2) The sine is the ratio of opposite to hypotenuse. Side BC is opposite angle A, and side AB is the hypotenuse
.. sin(A) = (8√3)/16 = (√3)/2
