Unit 8 homework 4 trigonometry finding sides and angles answer key

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'Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help! 16. 16,6 45 30'

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I am a given preliminary to find out for X, Y and Z. Right? So for that some of the problem here. But before that let's learn some basic concepts. Here's soybean hard riding a triangle straw here, Riding rangel Automatic ratio. This is 90 is this T dog here the first I actually think this is uphold it is stable and his. Right. So we have science theater is equal to oppose it overhyped Dennis the worst thing to do adjacent over hypotenuse and then theater they called to oppose it over at justice. So that's what we're going to use the cinematic ratios to find out the solution for the given problem. We've got a strangle here struggling to see so why not X. Right. So where do you apply applies here to go for saying do you do You go four years time theatre sign 30 Right 7 30 Let's oppose it. That is acts over Exchange three happiness right then that is 1/2 or they will do acts over exchange fruit trees are from here we get Act is going to be equal to eight trees 823 Let me have gone. I wonder why and see we need this this length here. We need to hear this length. Right? So for that I'm going to use here now on same triangle what I'm going to use I use no cause 30 so costs are equal to adjustments. So I understand doctor this is Cuban else here maybe so maybe it isn't. So a B Over we have happiness. That's 16 route three External routes of course 30 has given us root 3/2. That is equal to a b. over 16 road treat assaulting the swinger. A. B. Is equal to 16 route three time through three. Right? All divided by two. Yes General three times so three all divided by two. That's gonna have to be 24. So 24 here, this is 24. The next part is I want to find out why. And the right at this angle is 45. You know that the angles and property for triangle is 180 those 45. So the single would also be 45 because we have 45 plus 45 is 90 plus 90 is 1 80. I'm again debating $9 in property we have used here. This is 45 45 to 45 plus 45 90 19 nineties when it was 45. So now we know that though in this triangle abc let's say and the strangle we have so the two angles are equal in the sight of a positive. That will be equal. This will be why this will be equal to Y only. So it will be why? That's also why? So we have the C. Is equal to Y. And what's the next champ in solving this? So in crime of abc we want to use the pythagorean triangle. Abc we're going to use the despite the gorgeous to europe. So if we use this term now will have wide square, right? The white square plus y squared Not equals 24 square. If you use that Soul two White Square e Quilts 24 sq. So You start twice for equals 24 times 24. Forward to So 12 here. So I will get Y squared equals 12 times 24. So if I just backed priceless, so y squared is equal to Well is two times 2 times three Times 24 is two times 2 times two times 3. Right? So what we get here, why is coming up to me to make a pair too? Times true times three. And then Route two. So Why is coming up to me to have a route to? So why is well road to? That means these also coming out to be 12 to So I and D. What are coming out to be Well, rule two. Thank you.

Video Transcript

in this question we need to find the value of sign gil. So first we will right here sign Q. And the strangle given age. This right angle triangle. And its high 40 news is 15. This is r. k. o. p. and this is given is 14. Now find the first we find the side P ko by path ago serum hypothermia nuclear is equals two sides based square plus perpendicular square that is speaking. And here +255 25 30 2500 minus 1 96 is equal to P ko square. Now when it is a tractor we will get here 2304 is equal to P ko square. The value of PICO is equals to square root of 23 2304 is equal to 48. So value of P. Ko is 48. Now we will find the value of scientist sign Q. Is equal to perpendicular upon high party news. When the angle is the PQ is based. So base is equal to 48 perpendicular is 14. The perpendicular. 14 upon high party news is 50 is equal to seven upon 25. In the second be part we will find the value of sine. Sorry cause skill of course skill is equal to based upon high party news bases 48 high party news is 50. So it is 24 upon 25. In the C. Part we will find the value of 10 kill which is equal to perpendicular upon based Perpendicular is 14 and this is 48 is equal to seven upon 24. In the next day part we will find the value of sign. Are so sign. In the case of angle art serpent base is equals to 14 and perpendicular is equal to 48. So it is B upon it perpendicular upon 98 upon 50 which is equal to 24 upon. And in the next we will find her sign because R. Is equal to based upon hypertension. So this is equal to 14 upon high 40 News 57. In the f part we need to find 10 is equal to perpendicular upon this. Super perpendicular is 48 and this is 44.7. This is in the next part. We need to find the value of X. Here you can see that this is a right angle triangle. And this angle is given. We let this is base and this is perpendicular because we find this anger. So Tan 48° is equals to Perpendicular upon. This is 10. For the Sequels to perpendicular is X. And this is 17. So 10 48 degree is equal to X. Here's 17 in two. When it's 52 left hand side, it will be multiplied with 10 48 degrees. So value of X is equal to 17 in 2, 10 48 degrees. Value of 10 48 is 1.11 is equals to when it multiplied with 17. Then we will get here 18.880 in the next part. Again we will find the value of X. So here is this angle which is this angle and this is perpendicular. This is based. And this release hypertension use so we're given that hypertension is um perpendicular. So sign 67 degree is equals two perpendicular. Upon hyper teen use sign 67 is equal super perpendicular is X. Upon high protein uses 29. Now 29 is do it divisible by X. So when it shifted to left hand side it will be divided by sign 67. So 29 in to sign 67 it's equals two X. Now we need to find the value of sine 67 which is equals to 0.90 is equal to X. and multiplied the 29. Then we will get here 26 695. This is a value of X. In the next part we need to find again X. So here this is a this is a value and this is a. This is angle Angle is 29. And given its high party news this is base and this is perpendicular. So again sign 29 degree is equals two perpendicular. Upon high continues and acts will be multiplied with signed 29 is equal to 12 and the sign 29 will be shifted to the right hand side with the visible by 12. So find the value of sine 29 by calculation. So we will get here signed 29 signed 29 is equals to zero zero blind 4 eight five. Now This value is divisible by divided by 12. Then we will get is 24.74. This is your answer in the next part we will find the value of X. So it is the X is here and this is the angle 16 degree. And if this is an angle 16° so this is base, this is ridiculously high party news now in which we have bass and high patina. So we will apply here, score 16 is equal to base upon high party news in which bases at and hypotenuse is 37. Now we calculate the value of X. So here 37 in two. Course 16 is equal to X. 37. The value of course 16 is 0.79 Nine is equal to act. Now it multiplied with 37. So we will get here, X is equal to 29.54 49. This is the value of X in the next part. Again we need to find the value of X. And this is an angle so it is based and this will be perpendicular. Um then 1058 is equals to The perpendicular upon based perpendicular is 22 and this is X. And next we will find the value of X. by solving this extent 55, is equal to 22 X is equal to 22 upon 10 2 P eight. Now the value of 10 58 is 1.600. Now divisible divided 22 divided by 1.6 Is equals to 13.75. This is the value of X in the next part we will find x value of X. Sohail, this is angle so this is this angle at this. Inside of angle is also based and this is perpendicular. So we have given here based and perpendicular. So it is stan 51 is equals two perpendicular upon based now write the value of B and b. B is perpendicular is X. And bases routine and the value of 10:51 is 1.23 four So 1.234 in 215 is equal to X. Now by multiplying this the value of X is equal to 18.52. This is a value fix in the next part. We need to find the value of X which is having Angle is 37 and at the same side of angle is base and this is hypertension use now Based in hypertension it is given. So of course 37 is equals to base upon hypertension news. Now put the value of base and hypertension so we will get here this is 48 and hypertension this x No x 36 And 37 divided by 48. And cost value of post-37 is 0.799. Now 048 divided by 0.799 is equals to 60.75 one. This is the value of X in the next part Here they find the value of X. So you can see that in which the angle is 20 for the artist inside is based and it is perpendicular. So we need to right here. 10, 1024 is equals two perpendicular upon this. X upon basis. 9, 10 value of 10 24 0.445 into nine is equal to X. Now multiply like this. Or we will get here 4.0071. This is the value of X. Thank you.