13b sin B = sin C AAS c To find A: A = 180 – B – C To find c: b = c Solve the following triangle:C = 102.3, B = 28.7, and b = 27.4 feetStep 1: Determine the Type of Triangle.CABStep 2: Determine which Law to use.28.7102.327.4bsin B=csin CAASStep 3: Determine the missing parts.To find A:A = 180 – B – CTo find c:b = csin B sin CA = 180 – 102.3 – 28.7= csin 28.7 sin 102.3A = 49c sin 28.7 = 27.4 sin 102.3c = 27.4 sin 102.3sin 28.7c = feet
14To find a: a = b sin A sin B C = 102.3, B = 28.7, and b = 27.4 feet c = feetTo find a:a = bsin A sin Ba =sin 49 sin 28.7a sin 28.7 = 27.4 sin 49a = 27.4 sin 49sin 28.7a = feet
16ASA x Law of Sines Determine the height of the pole… A pole tilts away from the sun at an 8 angle from vertical, and it casts a 22 foot shadow. The angle of elevation from the tip of the shadow to the top of the pole is 43. How tall is the pole?Step 1: Determine the Type of Triangle.822 feet43Step 2: Determine what part of the triangle you need to find.Step 3: Determine which Law to use.xLaw of SinesASA82Determine the height of the pole…
17Summary Use the Law of Sines Coming Tomorrow….. Law of Cosines If the triangle isAASASASSAUse theLaw of SinesComing Tomorrow…..If the triangle isSASSSSLaw of Cosines
24A ship travels 60 miles due east, then adjust its course northward A ship travels 60 miles due east, then adjust its course northward. After traveling 80 miles in that direction, the ship is 139 miles from the point of departure. Find the bearing from port to it’s new location.The pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How far is the pitcher’s mound from first base?
25Summary Use the Law of Sines Use the Law of Cosines If the triangle is AASASASSAUse theLaw of SinesIf the triangle isSASSSSUse theLaw of Cosines