Section A: Multiple Choice .com
Trigonometry Practice SACName:Section A: Multiple Choice (5x2=10marks) Mark_______________/39 (_______________%)52273201174750071247012509500562737027432000664845279400064579578740006445252857500636270508000Section B: Short Answer (Total=29marks)4092575326390(2x1=2marks)00(2x1=2marks)Find the value of each pronumeral correct to one deciaml place.22669595885003321050304800(2X1=2marks)00(2X1=2marks)455295444500An escalator in a shopping centre from level 1 to level 2 is 22m in length and has an angle of elevation of 16o.Draw a diagram to represent this situation. (1mark)Determine how high level 2 is above level 1, correct to one decimal place. (2marks)666115228600and as compass bearings (8 x 0.5 =4marks)00and as compass bearings (8 x 0.5 =4marks)7124701270000 True BearingCompass BearingA:B:C:D: a) Find the value of θ correct to one decimal place. (2marks)Find the value of the x correct to one decimal place. (2marks)A helicopter flies due south for 160 km and then on a bearing of 125°T for 120 km. Answer thefollowing correct to one decimal place - Draw a diagram of the situation and calculate how far south the helicopter is from its start location. (1 + 2= 3marks)For the following triangle, find the following correct to one decimal place: (2+1+2=5marks)The value of xThe missing angle in the triangleThe area of the triangle8. A group of friends set out on a hike to a waterfall in a national park. They are given the followingdirections to walk from the entrance to the waterfall to avoid having to cross a river:Walk 5 km on a bearing of 325°T and then 3 km due north. Round each of your answers to one decimal place. Draw a diagram, labelling all known lengths and angles to represent this hike. (2marks) Determine how far east or west the waterfall is from the entrance. (2marks) Find the direct distance from the entrance to the waterfall. (2marks)459105016192500Right Angled Triangles4762500467995bb4391025125730aa492442550165ccPythagorasc2=a2+b2Soh-Cah-Toa sinθ=oppositehypotonuse cosθ=adjacenthypotonuse tanθ=oppositeadjacentNon-Right Angled TrianglesSine Rule 5229225640715cc5953125644525aa5591175177800BB5133975387350When either 2 side lengths and one of their opposing angles are known or 1 side length and two angles are known:a sinA = b sinB = c sinC 6257925315595C0C4905375323850AA561022595250bbCosine RuleWhen 3 side lengths of the triangle are known, solve for any angle using one of:cosA=b2+c2-a22bc or cosB= a2+c2-b22ac or cosC= a2+b2-c22abWhen two side lengths and the angle between them are known, solve the other side length using one of:a2=b2+c2-2bccosA b2=a2+c2-2accosB c2 =a2+b2-2abcosCArea When 2 side lengths are known, and the angle in between:Area=12absinC or Area=12acsinB or Area=12bcsinAWhen all side lengths are known:First find ‘s’:s=12(a+b+c)Then use this to find:Area=s(s-a)(s-b)(s-c) ................
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