Moderate# Triangle, Area, Pyramid, Isosceles, Law of Sines

TRIG-SSJL1N

We are given the exploded (net) view of the regular pyramid with a square base of 6 units and each of the triangular faces are isosceles and congruent. We are also told that the base angle of each of the triangular faces is **${70}^{o}$**.

What is the surface area of the pyramid (round to the nearest tenth of a unit)?