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Falco276
 3 years ago
There are many ropes keeping a hot air balloon from floating away before a balloon race. One of these ropes is fixed to the ground at a 45° angle. Another is fixed to the ground at a 30° angle.
Falco276
 3 years ago
There are many ropes keeping a hot air balloon from floating away before a balloon race. One of these ropes is fixed to the ground at a 45° angle. Another is fixed to the ground at a 30° angle.

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Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot? Type the numeric answer only in the box below.

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1I think I know. The vertical angle measurement is equal to the horizontal measurement of the right angle.

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.121 feet by 21 feet. I just have to find out the measurement to rope 2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0they are asking you the distance between rope 2 and underneath the balloon right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0just to make sure i understood well, i remind you i'm not english!! hehehe

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lemme get a paper so i can explain better

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the distance between rope 2 and 1 is x right? as the drawing says

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1yes, but I found the half of X which is 45.

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1look at the drawing, am I right?

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1I only have to fing the measurement that is the question mark.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you have 2 angles if you notice

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0even though they dont give you a number, you can see that the angle underneath the balloon is 90, a right triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ah well you need to find the sides first, nevermind

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you gonna solve the problem like this

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x: distance from rope 2 to underneath the balloon  distance from rope 1 to underneath the balloon

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1distance from rope 1 to underneath the balloon = 45.

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1Im trying to figure out rope 2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how do you know its 45? 45 is the given angle

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1no, not from the angle. On how I got 45 was that the vertical measurement leading to the balloon has the same measurement that leads to rope 1.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it has a lot to do with sinus and cosinus

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1its 21!!!!!! Its 21!!!!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well first you need to remember that sinus = op side / h

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we are measuring from rope 1 to balloon now, so sin 30 right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i tell you that sin 30 = 1/2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so you gonna put 1/2 = 21ft / h right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0solve for h and then you have the hypotenuse

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what do you think you can do next

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there are many ways to solve this problem

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0also remember that all the angles of a triangle = 180, if this doesn't happen, it's not a triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so if you have a 90º angle, a 30º angle...what's the other angle?

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1wait, so were trying to find a measurement form rope 1 to the balloon, am I right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i got it already, just waiting to see how you proceed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that problem is too difficult for you, i mean, they should teach you trigonommetry first, there's no way you can do that without using trigonommetry

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1I never took trigonometery before.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know you haven't heard of the trigonometric functions

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you need to do it 2 steps

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1no, never. I just take basic geometry.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358713814089:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do you remember what was the sinus and what was the cosinus?

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1(sigh) I don't remember. (honest, i don't want to be mean to you.)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hahaha, dont worry about it, i'll explain again, but you should take note of it because you are going to need it in EVERY problem

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1okay, I'll take your note.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358714056382:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Now you need to MEMORIZE this scheme, mathematics are also a subject to study!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now ill draw you a triangle and you'll tell me which is the oppsite and which is the adjacent side ok?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358714498016:dw

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1I think the opposite side is left from angle A the adj side is right from Angle A.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0opposite = infront of the angle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0adjacent = sidewards the angle

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1fine! Isn't the adjecent side the How do I Explain it! Isnt the adjecent side the sidewards of the angle?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no, the other one, that's the hypotenuse

hba
 3 years ago
Best ResponseYou've already chosen the best response.0@GCR92 is helping you,Just follow him :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I have to explain the whole trigonometry before you are able to solve that problem...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I explain as simple as it is, but not simpler

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok i put the turbo now

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we are going to solve 2 triangles

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358715724015:dw

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1wait. I think I have it.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we are going to use the sinus to solve this one, why sinus? because the problem has given us the opposite side, wich is 21 ft

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and sinus = op side / h

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and we can make a relationship

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1tan Ө = opposite / adjacent tan Ө = height of the balloon off the ground / x tan 45° = 15 / x x = 15 / tan 45° x = 15 / 1 x = 15

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0where did you get 15?

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1oh, no i meant 21 (facepalm)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You could've done it if you had the value of the x side

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but that's what we are looking for

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0to use the tangent you need to have the value of 2 sides

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I'd like to continue now

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1now we take the other triangle.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the adjacent side is not 21, 21 is the only data they give us, you can't invent it

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0listen i dont want to be mean either but i want to help you and i want to finish, if you think you don't need to do what i tell you to solve it, go ahead

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sin 30 = 1/2, we do that in order to calculate H

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now we take the cosinus in order to calculate X

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you can never write tan and let it alone

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it is always tan OF SOMETHING

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0tan of x, tan of alfa, tan of 20

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1so the answer is 21 sq. root 3

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0take the 30º triangle and then, sin 30 = 1/2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now we have the h of the first triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now we can calculate the distance from the rope to underneath the balloon, that distance will be given by the cosinus

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now we go to the second triangle and apply exactly the same steps but with 45º

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1maybe my way of solving this problem was wrong. sorry.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know but mathematics doesn't magically happen, you need to study a lot( and suffer lol) dont worry

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0if you do the same with the second triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now we calculate the cosinus

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sqrt 2 / 2 = x / 28,698

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0distance from underneath the ballon to the second rope = 36, 373 + 20,292 = 56,665 feet

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1wait, but earlier you said that x is 36 never mind :P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that's the distance between underneath the balloon and rope 2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and 20,292 ft is the distance between underneath the balloon and rope 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.036ft is the distance between rope 2 and 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then you calculate from rope 1 to underneath the ballon and it gives you 20 ft

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you add it and you obtain the final result

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what i did is totally useless, i mean you can't learn in 20 min, i always believed that a teacher is need in order to learn something, anyway, wish you luck with this!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you did well! at least you had ideas! you only need to learn the theory well

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i also think your teachers are crazy though

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1XD Thanks Gonzalo! I promise to keep the theory at heart. Yes, I finally understood the answer and also the work. I'll tell you if need help on anything else.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You are welcome, sure, see you! :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I also can be wrong, i mean if your teachers yells at you it is my fault, just don't take that in account, it's been ages since i dont take trigonometry :p

Falco276
 3 years ago
Best ResponseYou've already chosen the best response.1oh, i understand, dont worry! my teachers are really nice.
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