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Consider Ihe angle shown below with a Sham IntrovlnsLruk Iiolts 25) The cincle $ Fadius Initinl ruy pointing units . lona Ine }-"clock direction jnd thc Icinin...

Question

Consider Ihe angle shown below with a Sham IntrovlnsLruk Iiolts 25) The cincle $ Fadius Initinl ruy pointing units . lona Ine }-"clock direction jnd thc Icininm MIChum ndians point is located at (1,51, 2,30). (whre512361What Ihe valuc Or 0}(339 = cos 3151 OAll of the bovc None 88 the above

Consider Ihe angle shown below with a Sham IntrovlnsLruk Iiolts 25) The cincle $ Fadius Initinl ruy pointing units . lona Ine }-"clock direction jnd thc Icininm MIChum ndians point is located at (1,51, 2,30). (whre 512361 What Ihe valuc Or 0} (339 = cos 3 151 OAll of the bovc None 88 the above



Answers

In Fig. $6.35, \Delta \mathrm{ODC}-\Delta \mathrm{OBA}, \angle \mathrm{BOC}=125^{\circ}$ and $\angle \mathrm{CDO}=70^{\circ} .$ Find $\angle \mathrm{DOC}, \angle \mathrm{DCO}$ and $\angle \mathrm{OAB}$.

Can t every question. And for 48 which talks about ring e Ancram and it gives you the in Cortina Toshio on the quadrant and you make a diagram. So let me first off do a simple grapes. So according to our counter click ways So when is the top right? Two is the top left bottom left his cotton three. But, um right is corner for for giving this that strong unit trickle Welcome A zero. So it says you have an angle in quadrant one. Your house angle, Peter, and the point inspects. Come away, then you have the supplement tangle. He's gonna be also thinking about your point is Nick, and it makes convoy. So you have co site off 1 80 minus data so good to negative course, right of data. So this whole thing, it's 1 80 minus, you know, so clustering or when I get my stater is actually negative. X, Sony Iraq's and the access your co sign So negative expert to negative course rain data, which is exactly what you got. So

Okay, I'll be going over question number 47. Where chess. You drawn diagram and a boy. So And show that signed, uh, 100 degrees money status, which is, you know, Serena three drum. Let me go. Mm hmm. Sure. Cool. Here. Just think of it. Great, t it's come away. And since there's ah gray on the other side on the complimented on according to So the quadrants Quarter one. So this is 12 It goes saying counter clock ways. So 123 and four. This is two. Oh, overhearing a plan B negative. Like a negative way This. Sorry. It's gonna be data. This whole thing is gonna be 1 80 minus 30. So sign on Monday. He minus data basically toe y. And why is to find a sign of X?

Okay, This question wants us to find the angle between these two factors using a calculator. So to start, we'll find you don t and we just multiply the components and add them together. So our dot product ends up giving us a value of 12 20 and then we also know that 12 20 is equal to the magnitude of you times. The magnitude of E times Co sign of the angle between them and the magnitude of you is just the square root of the some of the squared components. So for you are magnitude is square root. 2389 and then for V, we do the same thing. So the has a magnitude of routes 13 to 5 so clogging that in we get the 12 20 is equal to the square root of 2389 times the square root of 13 to 5 times co sign data or dividing. We get co sine theta is equal to 12 20 over the square root of 23 89 times 13 to 5. So taking the inverse co sign of both sides, we get our angle of approximately 46.7 degrees

Okay. This question wants us to find the angle between these two factors. So to start will find their dot product. So we just multiply like components and then add them together. So R dot product works out to 1 35 So now that we have that, we know that the dot product 1 35 is equal to the magnitude of you times the magnitude v Times co. Sine of the angle between the vectors and the magnitude of you would be the sum of the squared components. Then we square root that and this is actually a perfect square. So we get 15 for the magnitude of you and then for the magnitude V, we get the square root of 21 squared plus 13 squared, and this is the square root of 6 10 So now we can plug in to get 1 35 is equal to 15. Route 6 10 co sign data or nine is equal to Route 6 10 Coastline data or coastline data is nine over route 6 10 or data is the inverse come sign of nine over route 6 10 and this is where the calculator comes in. Because this is approximately. Once we plug in our square root 68 0.6 degrees


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