8.2(one) - ThiOOflalLS "Him! CKT‘Q 110+...

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Unformatted text preview: ThiOOflalLS "Him! CKT‘Q 110+ Hal—r} [lbs 8.2 The Law OfSine’s Gbe Coiled Oblifl/LLQ airfcmfjug ’- DIDYIQLAQ 'l‘WI‘CmaLL W1“ have (Hawk amt—'45 " - -- 012) +mo chb Gmd W . .. . _ 00+qu Gcnckjb‘ ' (a) A“ angies are anutg (b) Tm acute angina and one obtuse angle (TE) Solve GU) Clancy/KL [\b‘ mamas ~40 'Ffflcl ‘Hm " n 6’75 HS 5&3 ‘W a [ WSLLYQ mm! 5 u r - ‘ng QYBJLQS‘ CASE. 1: Om: side and two angles are known (ASA or 5AA). CASE 2: Two sides and the angle opposite one of them are known (SSA). CASE 3: Two sides and the included angle are known. (SAS). St-OPY : 3(5)) CASE 4: Three sides are known (SSS). (A lo $lln3i?) : gfnC. Jo T Case 1: ASA Ease 1: 3% (FOR Close] Omd CGkSec?‘ we will LL89— LOWE?) R gfmjg rFbr‘ CQBQB (funcl Cage? We WE“ LL59 Law <05} Cosm's (Sec—[Cm €03) 6336 23 3313* (law 4: 358 7:0!” a #:11an MM Sfcizs G,1:>,C and OPPOS‘I'E Qhahs A, R} C VésPec-Jz’vejfl I - IX]: 4 Sin _ Sm _ $15 C: S . ‘ . 0 L smegms WM 0 H+PQ+C1V80 1. Solve SAA or ASA Triangles LAND) prom/m 45.: 35 gm p ‘qudt 530 . A=37°,C=75°,a=11 ' C , ab / H P>:l%0—3:*+%) "/ I. a __ )o\ B’— ) 3&188 ,iu .' D. A c: B [9: r fiinfi‘: Sig”; \ "—07 19 {51—93% Sl‘nég H T 2. Solve SSA Triangles 0:44, 12:62, 14:42" SSA --~ The Ambiguous Case No Triangle 11' a ii h «in A. then side a is not ~;m"['icicnii}' long In [arm :1 triangle. Sou Figure 14. Figure 14 (2 «if h bainA m T n n i; nin xi Two Triangles I f h = [9 sin A at: a. and 5; <7: 1) two distinct triangles; can be one Rightmangle 1M 2 h = 55311 A farmed from the given informalion. Sec then sidc: ii jusl long enough To form a Figure- 16. right triangle. See Figure 15. Figure-16 Figure” bsinA a and a «I: b a 2 h = bsinA ._ T a h: {ism/4 l one Triangle “:6! I). only one trian- gle can be formed. See Figure 17. 5%?) I __.————‘—- Bx an Po: 2 ($6061? ) '5 Sin% z'moméztrq 1?): BOVTH 3. Solve Applied Problems To measure the height of a mountain, at surveyor takes two sightings of the peak at a distance 900 meters apart on a direct line t0 the mountain? See Figure 31m). The first observation results in an angle of elevation of 47"” and the second. results in an angle of elevation 01‘35". lithe transit is 2 meters high what its the height It at the mountain? I at film 95b(5i07>5) .: (1 812,12 ...
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8.2(one) - ThiOOflalLS &amp;quot;Him! CKT‘Q 110+...

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