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Question 16Solve the triangle ABC if b 122167, ZB40LALCdegrees; degrees; Assume ZA is opposite side LB is opposite side b,and LC W State the law opposite side c tha...

Question

Question 16Solve the triangle ABC if b 122167, ZB40LALCdegrees; degrees; Assume ZA is opposite side LB is opposite side b,and LC W State the law opposite side c that you used,EditInsertFormats B 4 x * A - A" 1 1 @ 8 R0 BAzi

Question 16 Solve the triangle ABC if b 122 167, ZB 40 LA LC degrees; degrees; Assume ZA is opposite side LB is opposite side b,and LC W State the law opposite side c that you used, Edit Insert Formats B 4 x * A - A" 1 1 @ 8 R0 BAzi



Answers

13-18 $$ Sketch each triangle, and then solve the triangle using the Law of Sines.
$$
\angle A=22^{\circ}, \quad \angle B=95^{\circ}, \quad a=420
$$

Well, everyone, this is Ricky and terrible from 31. And so this is a lot of science question where were given ankle unknown side, another angle with inside. So let's just write this out. Sign of 30 degrees over eight is equal to inside for five greens over a use cross multiplying. Get a equals 8 to 7 45 over. Son 30 and we simplify this. We get that a is equal to about so this video is helpful.

First, we should start by finding out what is the measure of angle A. We're going to use the fact that the sum of the angles decided triangle is equal to 100 80 dickweed. So the measure of angle A it's gonna be equal 280 minus two. Some off the other triangles that we have it. You're 29 51 degrees, and that's going to give us 100 degree as the answer for the measure off angle like So now that we have the measure of angle A, we could start to schedule triangle. So first, we're gonna draw a line such as this, which measures 44 units, and that's gonna be our side beat. We know that side B is between the angles A and C, so in order to draw angle A, we're gonna dry line. That's makes in 100 degree angle. Which side? B and we know that the measure off angle sees equal to 51 degrees. So we're going to dry line. That makes a 51 degree angle with side. So the point that they, uh, both lines intersect. That's going to be the angle B, and we know that the measure of angle B is actually call 2 29 degree. So now that we have sketched the triangle, we could apply the law off sign in order to find the elements that are missing in this case, the elements that are missing or the sides a inside see. So we're gonna put sign of 29 degree over the opposite side, which is equal to 44. It's going to be equal to sign off 100 degree over the opposite side a and sign off 51 degree over the opposite side, which is seat. So now we could find and see very easily. A. It's going to be equal to 44 more multiplied by sine off 100 degree over Sign off 29 degree, and that's going to give us an approximation as 89.4 units for A and C, it's going to be equal to 44.44 multiplied by sine off 51 degree over sign off 29 degrees on. That's going to give an approximation as 70 point five. So we have used the love sign after sketching the triangle in order to find the measures off the side. A inside see and we have already found the measure off the angle

In order to solve 40 question at 13 1st we should sketch the triangle. So in that case, first we're gonna use the side seat. We know that sightsee measures 230 units, so we're going to draw a line that measures 230 units, and that's going to be the side seat. And we know that side. See, it's between angles A and B, So I put angle a one side and angle B on the other side. I know that the angle is 50 degrees, so I'm going to draw a line that makes a 50 degree angle with side sea in the a side. So I'm gonna put this here, and I'm gonna dry line like this. And I know that the measure off this angle is 50 degree, and I know that the measure of angle being 68 degrees. So I'm going to draw a line such as this, which is gonna make a 68 degree with side sea on the part of the point at which of these two line intersects with each other. It's gotta make the angle, see, So that's how we could draw the try and going questions 30. So now that we have drawn the triangle, we could find a different elements that are missing from it. So the 1st 1 would be to find the measure off angle, See? So we're gonna say the measure of angle C is gonna be called 280 degree minus the sum off your other angles 50 and 68. And by the fact that some off the angles decided trying goes equal 280 degree, we could find the measure off angle see, and that's equal to 62 degrees. Then we're gonna apply the law signed. So we're going to say that sign off 62 degree over 232 130 units, which is the measure off the sidelines opposite to it is equal to sign off 50 degree oversight a that we need to found find. And that's going to be equal to sign off and will be succeeded. Degree oversight be. So now it is so for a and B very easily, so a it's going to be equal to 230 multiplied by sine off 50 over. Sign off 62. Andi, that's gonna be approximately equal. 299.5 units. And then a sore for BB is gonna be quote again 230. But this time multiplied by sine off 68 degrees over. Sign off. 62 degrees on. That's going to give an approximation of 241.5 units. So in this case we have we have already sketched the triangle. And then we found the three elements our missing. We have found the measure off angle. See, you found the measure offside A. And also the measure offside be.

Hello, everyone. This gets in your clothes. All this given triangle by you think science low. So my in laws live like a 98 divided by sine e before toe reunited Rest sign be before toe Senior derided by sci fi So here we can Different angles are one And do what we can find about some summit monitor degree So city poured Working back won t minus some of these schools It is 1 20 minus 45 this old and very Porto degree So seeing really report now it could live to see value on Gets the red in here on the science Even do Then we'll get a radio A court like you And I see you derided by science See Sign it off. I place even used 16 he wanted by scientific community indoor science He missed 180 Question provided so many Portland here This is activity point by afternoon seven. Next you'll find that we on good design reelected like so people like in Knight Rider by science into tying the knot five Leslie reduced Ince's experience you ordered by it May yes 45 The report If I survive this one then I'll get it for gold. 40.7 lengths. And so the idea is not anti war tendency and not very many cool size. So thank you.


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