The tangent of a angle of right triangle is found by dividing the opposite side with the adjacent side which the opposite side is 5 an adjacent side is 12 tan R = 5 / 12 = 0.4167 R = arctan (0.4167) = 22.6 degrees
--------------------------------------------- Formula --------------------------------------------- Sin θ = opp/hyp
--------------------------------------------- Apply formula to find ∠R --------------------------------------------- sin (R) = 5/13 R = sin⁻¹(5/23) R = 22.62° (nearest hundredth)
--------------------------------------------- Answer: Angle R is 22.62° ---------------------------------------------