The triangle described is like the one shown in the attached figure. Please see attached image. For this case what we should do is use the following trigonometric relationship: cosx = (PQ) / (PR) cosx = (33.8) / (57.6) We clear x: x = ACOS ((33.8) / (57.6)) x = 54.06935309 Rounding: x = 54.1 degrees. Answer: the measure of ∡P is: 54.1 degrees