Use the definitions of hyperbolic cosine and hyperbolic sine (their formulas) to prove the identity below. Show your work neatly in the space provided.
h2 − h2 = 1

An observer(o) spots a plane(p) taking off from a local airport and flying at a 29 degree angle horizontal to her line of sight and located directly above a tower(t). the observer also notices a bird circling directly above her. if the distance from the plane(p) to the tower(t) is 6,000ft., how far is the bird(b) from the plane(p).