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Find $x$ rounded to one decimal place.CAN'T COPY THE FIGURE...

Question

Find $x$ rounded to one decimal place.CAN'T COPY THE FIGURE

Find $x$ rounded to one decimal place. CAN'T COPY THE FIGURE



Answers

Find $x$ correct to one decimal place.

Here we after I will do your best. Well, first, let's and they would all vortices off this train. See you green. You seen do says Dean to we have two triangles ABC rent a CD now it's going to do it before his triangle and BC the printer. Why just this as white. So let's consider. There you go. Okay. Be seen. No, he has 916 and we know the opposite side and the address inside the region use Dan told me, You know, you know that Nandita sequins opposite side by our juice inside. So here you can write us the dance. It's two degrees z Quinn to read. If I that his opposite side and the under since itis Why? So why would be produced? We destroyed by Kansas City breeze? No gowns. It's Dia's from the table. I just swear of those three. So why is it going to 80 flying by spread to a golf tee? Now let's consider the other triangle a B D a triangle. You. I mean game. Yeah, VD signed beatings, IQ photo. Why Bliss X doesn't feel. Yeah, well, the opposite side and the I just inside. So concerned with these two inside speaking use done so me now again, so can three. Does it produce opposite side by Just inside. So you're we have Can you stand the the last Really Greece Stanton things a little The opposite side this 80 fired in the edges Insiders flightless x no week in situ divine you. So why thistle that we can we have ninja guys? Why, there's exit Binky we need to find by Stanton D Now we know why is it perjury defied by a dream? I will say it is us fishing one from the question one, we have 85 night. It's granted Don't starting sprayer. Just three less X is equal to 85 divided by time 20 GB just won by three. That is a perfect 85 Really with counseling So they saw X is a rental 85 rue dream minus 85. Derided by G that is home to be with you 155 that is 85 into three, minus 85 divided by the tree The 17 chief segmented approximately sequel job 90.1 site. So the candy Yes. No. You did want actions

Here we have to find a value. Will flee. It's to first Reince noodle notices sprang glutes. And this big I mean see man U G Now we have struggled in Sevilla Still Dragons, ABC. When a CD the first we have to find, I thought use It's the triangle ABC and then using outside began. Finally, I got you shorts drying these Edie, which is nothing. What X Yeah, Not expensive yet a c in so doing a new see? I think so. You know the opposite side, right, John, And having little one to Joe just 60 degrees and mingle with the opposite side. As for today and we have to find the actual Jews so they can use saying form that sign Peterman Big Brito Peace inside Why hide old news? You know the unknown considerations 60 years So scientist ese to presence itis Do you and we have for communities this day? Soon now a c will be virtually this g denoted by scientists in various from the bigger you can get till value for science It's game with this This is no subscribe just three. By do this round you would be if treated while that vile square. You don't leave out three that is with Angel. You'll notice 100 by three Now in this scene one now considered a dragon. Yes, I do where it says he has fortune use and we have to find the opposite side of the given anger since jeebies. Well, sides and countries consideration a visit and happened so we can again you signed formula to sign here, analysts said. State part of degrees see opposite side will be a c divided by Have. What winds would be X? No, we have to find the manuals x so expert. Be able to be a C delighted file sign since to fight degrees and from immigration wiles. That's response one down before a see where this is going to be 100 by struggle Street. So extra be Wenger. I'm good diverted bias bread We go three into science. Escape fire in Greece zero point 9063 Miss Filigree Puerto said. Six Very boring. Seven of actually says approximately broken 6 to 3 point

So we have this picture of ah, right triangle and then another right triangle within that triangle. So we know we have this right triangle with this being 30 degrees on that's the right angle. But then we have another right triangle right here, and we know that the length of of that side is five. And so we want to figure out how long Exes Now, first of all, in a 30 60 90 triangle just in general, if this is 30 degrees and this is 60 degrees, key thing to remember is if you know how long this side is than the high pot. News is always twice as long, and the side opposite the 60 degrees is square root of three times bigger than the short side. So here's short side alongside, or the high pot news is going to be twice as long. So going back to here, we actually know how long this side is. This is five. So this high pot news in this right triangle must be 10. And we also know that we want to find X and, uh, in this big triangle. Now we can use three idea that the tangent function. The tangent function, the tangent of 30 degrees is equal to opposite, which is X over adjacent, which is 10. And so, if we take 10 times the tangent of 30 degrees, look, we'll get X now. If we had to give the exact answer, I would just say this is square root of 3/3. However, it says to the nearest decimal. So let's just type it in. I'll check my mode of my calculator. I am in degree mode, so I take 10 times the tangent of 30 degrees and we get to the nearest 10th. We get 5.8 units long, and there's our answer.

Okay. Here. We've got a maybe slightly more complicated thing than we're used to Got the triangle that looks like this. You have right angles. Of course. Here, that common height is 100. This anguish 60 degrees and on the right side, we have 30 degrees. So at least we have nice numbers. Toe work with being the 30 and 60 100 is also a nice number. They want us to find X rounded to one decimal place. Ex being this total side right here. So this shouldn't really be too much of a problem for us. What we can do essentially then, is just find each of these pieces will call that x one and x two on both say that X equals X one plus x two right now we can solve for X to almost immediately. Um, here we have, um, angle of 30 right? We haven't opposite side and in adjacent side, so we can use tangents of 30 for that. Okay. Tension of 30 would then be opposite over at Jason, which is 100 over x two. Now, if you want to solve for X two, not x squared, but except to now we're gonna have 100 over attention of 30 recalled then that are tangents. We're talking about that. Why, over X value or the opposite over adjacent. So recall the unit circle that we will start with a circle. The unit circle. Looks like this. Uh, we're talking about this value y over X. So that's this sign value. And here's the co sign value. Um, so we're just saying, really Sign of 30 over co sign of 30. Right? Sign of 30 is 1/2 co sign of 30 is square 3/2. All right, So simplified. We really just have 100 over roots. What? Over one over. Route three. Right, Which properly simplified is 100 Route three. Okay, um, so there we have X two is gonna be 100 Route three. Now, let's go ahead and solve for X one. We have an opposite side, and we're also interested in the adjacent side. So similarly will have tangent here of 60 degrees, though, is opposite over adjacent, which is 100 over except one. Okay, except one is also going to be 100 over tangents. Okay, here. Tension of 60 years a bit different, though, right? Because we will have sign of 60 over co sign of 60. Sign of 60 is Route two over to co sign of 60 is also Route 2/2. So that's just one. So our X one value is just going to be 100 where all right, So if x equals, both of these pieces added together will have 100 routes three plus 100 so that there's an answer for us. They do ask us to round to some decimals to one decimal place, so put in 100 routes three plus 100 and we should get an answer here. 273 points to have for X.


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