MBF3C and MAP4C - Home



29146500K/U = x28 T/I = x8 A = x16 C = x5 K/U = x28 K/U = x2800K/U = x28 T/I = x8 A = x16 C = x5 K/U = x28 K/U = x28MBF3C and MAP4C: Unit Test #1Trigonometry-685165295275 /300 /3Knowledge and Understanding1. Using a calculator, find the value of each of the following trig ratios:a) sin30°b) cos75° c) tan23° -657225277495 /300 /32. Using a calculator, find the measure of angle A.a) sinA=0.4576b) cosA=0.7891c) tanA=1.23653. Find the length of the missing side, labelled a. Round your answer to the nearest decimal place. Show ALL of your work for full marks.-657225184785 /300 /3438150147320a)127635022542511 cm0011 cm171450174625a00a438150173990154305010668046°0046°-676275421005 /400 /433337525717500b) 1371600306705a00a-4762510033025 cm0025 cm1704975762035°0035°304800762070°0070°54673515875007810502540006 m006 m-647700403860 /400 /41762125825528°0028°c)34290070485a00a1790700120656.5 m006.5 m4. Find the measure of angle B, to the nearest degree. Show ALL of your work for full marks.-657225184785 /300 /3438150147320a)127635022542536 cm0036 cm-6667520320011 cm0011 cm-676275421005 /400 /433337525717500b) 4667251143080°0080°-476251003306.4 m006.4 m952500952510.2 m0010.2 m546734133350091440024193512 m0012 m-647700403860 /400 /4c)342900704857 m007 m17907001206510 m0010 m-733425426085 /800 /8Thinking and Inquiry5. Solve the following triangle by finding all missing sides and angles. Show ALL of your work for full marks. (Hint: You may need to use Cosine Law first, but after that you may be able to use Sine Law to solve the rest )695325571548°0048°13335016129020 cm0020 cmleft9207500135255011493525 cm0025 cm209550352425 /400 /4Application:6. A ladder leaning against the wall makes an angle of 72° with the ground. If the foot of the ladder is 6.5 m from the wall, how long is the ladder? Hint: Start by drawing a triangle. .30480009525007. Three roads join Hometown, Mytown, and Ourtown, as shown in the diagram.-695325315595 /300 /3a) What is the distance from Hometown to Ourtown? -695325346075 /300 /3b) What angles do the roads make at Hometown and at Ourtown?8. Elie and Maggie are standing 400 m apart, looking up at a hot air balloon. Elie measures the angle of elevation to the balloon to be 43° from where he is standing, Maggie measures the angle of elevation to be 48° from where she is standing.-685800147320 /200 /2a) Draw a properly labelled diagram to display this problem.-676275135255 /400 /4b) How far from the balloon is Elie? How far from the balloon is Maggie? ................
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