2.5 Solving Right Triangles OBJ: Find missing sides and angles of a right triangle
EX: Find sin (74 8 14 ) sin(74 8 14 ) sin( ) = sin ( ) sin 0 0 sin 30.5 sin sin 90 1 sin sin (sin166).25 sin 180 0
DEF: To solve a triangle SOH CAH TOA Sin Oh__ ___ Heck Cos Another = Hour Tan Of___ Algebra SinOpp Hyp CscHyp Opp CosAdj Hyp SecHyp Adj TanOpp Adj CotAdj Opp
EX: Solve: A = 34 30 B 12.7 a 34.5 Ab C SOH CAH TOA sin = Opp Hyp sin(34.5 ) = a sin(34.5 ) = a = a cos = Adj Hyp cos(34.5 ) = b cos(34.5 ) = b = b B = 55.5
7) A = 28 , c = 17.4 ft (23) B 17.4 a 28 Cb A SOH CAH TOA sin = Opp Hyp sin(28 ) = a sin(28 ) = a = a cos = Adj Hyp cos(28 ) = b cos(28 ) = b = b B = 62
15) A = 53 24, c = (31) B a 53.4 Cb A SOH CAH TOA sin = Opp /60 = 53.4 Hyp sin(53.4) = a sin(53.4 ) = a = a cos = Adj Hyp cos(53.4 ) = b cos(53.4 ) = b = b B = 36.6
3) N =51.2 M n p 51.2 P 124 N SOH CAH TOA tan = Opp Adj tan(51.2 ) = n tan(51.2 ) = n = n cos = Adj Hyp cos(51.2 ) = 124 p 124/cos(51.2 ) = p = p M = 38.8
5) B = (15) A c B a C SOH CAH TOA tan = Opp Adj tan( ) = a /tan( ) = a =a sin = Opp Hyp sin( ) = c /sin( ) = c = c A =
9) B = 73 , b = 128 in (25) B 73 a c C 128 A SOH CAH TOA tan = Opp Adj tan(73 ) = 128 a 128/tan(73 ) = a = a sin = Opp Hyp sin(73 ) = 128 c 128/sin(73 ) = c a = 17
EX: Solve: B C bA SOH CAH TOA sin = Opp Hyp sin A = sin -1 (29.43/53.58) = A 33.3 = A cos = Adj Hyp cos -1 (29.43/53.58) = B b 2 = b 2 = b = 44.77
11) a = 76.4 yd, b = 39.3 yd (27) B 76.4 c C 39.3A SOH CAH TOA tan = Opp Adj tan A = tan -1 ( ) = A 62.8 = A tan = Opp 39.3 Adj 76.4 tan -1 (39.3) = B = B = c 2 c 2 = c = 85.9
19) c = m, b = m B a C A SOH CAH TOA cos = Adj Hyp cos A = cos -1 (2.467/7.813) = A 71.6 = A sin = Opp = Hyp sin -1 (2.467/7.813) = B 18.4 = B a = a 2 = a = 7.413