6.0 On Your Own Key

Math 10-3 Name Key Finding Angles in Right Triangles Find each angle measure to the nearest degree. 1) sin W = 0.6293 arcsin(0.6243) = 39 2) tan V = 0.9004 arctan(0.9004) = 42 3) cos C = 0.8746 arccos(0.8746) = 29 4) tan X = 2.4751 arctan(2.4751) = 68 5) cos X = 0.6293 arccos(0.62/3) = 51 6) sin W = 0.9994 sin^ - prime (0.954) = 88 * Name the angle with the? mark as "B". Name the right angle as "C" and the last angle "A". * Lable the sides as: HYP, OPP, ADJ. * Write the three ratios. * Use the best ratio to determine the measure of the indicated angle to the nearest degree. 7) HYP A sin B = b/8 cos B = a/theta tan B = 6/9 8 B a C sin B = 0.75 arcsin(0.75) B = 49 8) A s * D/(mP) HYP 48 C 28 B adj sin B = (opp)/(h + p) sin beta = b/(4theta) cos B = (adj)/(hy*rho) tan beta = 0.57/(a*sigma_{1}) ton B: 98 cos beta = 28/(4theta) cos B = 0.5833 cos^ -1 (0. sss * 33 ) B = 54 deg 9) Hy * L/p A 17 overline oPP sin B = (ops)/(hr / s) sin B = 17/c cos B: ads cos beta = 6/c tan B= 6p3 6dj arctan(2.8333) tan B = 2.8333 B = 71 deg tan B = 17/6 sin B = (OPP)/(h_{M}*P) B adj 6 C Hyp 37 기 10) 19 B overline opp odi a C arcsin(0.5135) B =3/^ sin B = 19/37 sin B = 0.57135 cos B= ad I ^ - hy*rho cos beta = a/37 tan B= sPP ad j ^ - tan B = 19/9 11) HYP A sin B = (sPP)/(hy * 1 ^ 2) Cos B= adi hyp ton B: ?? adj C B 20 adi sin B = 6/c cos B = 80/c tan beta = 6/20 tan B = 0.3 arctan(0.3) B = 17 deg 12) ddo 22 B 30 Hyp A sin B = b/35 SinB = OPP دردره hyp cos B = ads hyp tan B: OPP adj tan B = b/22 arccos(0.6286) cos beta = 0.6286 B = 51 deg cos B = 22/35