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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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Falco276Best ResponseYou've already chosen the best response.1
If 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.
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
I think I know. The vertical angle measurement is equal to the horizontal measurement of the right angle.
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
21 feet by 21 feet. I just have to find out the measurement to rope 2
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
they are asking you the distance between rope 2 and underneath the balloon right?
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
just to make sure i understood well, i remind you i'm not english!! hehehe
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
lemme get a paper so i can explain better
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358712594988:dw
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
the distance between rope 2 and 1 is x right? as the drawing says
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
yes, but I found the half of X which is 45.
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
look at the drawing, am I right?
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
I only have to fing the measurement that is the question mark.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you have 2 angles if you notice
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
even though they dont give you a number, you can see that the angle underneath the balloon is 90, a right triangle
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
ah well you need to find the sides first, nevermind
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you gonna solve the problem like this
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
x: distance from rope 2 to underneath the balloon  distance from rope 1 to underneath the balloon
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
distance from rope 1 to underneath the balloon = 45.
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
Im trying to figure out rope 2
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
how do you know its 45? 45 is the given angle
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
no, 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.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
it has a lot to do with sinus and cosinus
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
its 21!!!!!! Its 21!!!!
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
well first you need to remember that sinus = op side / h
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
we are measuring from rope 1 to balloon now, so sin 30 right?
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
i tell you that sin 30 = 1/2
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
so you gonna put 1/2 = 21ft / h right?
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
solve for h and then you have the hypotenuse
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
what do you think you can do next
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
there are many ways to solve this problem
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
also remember that all the angles of a triangle = 180, if this doesn't happen, it's not a triangle
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
so if you have a 90º angle, a 30º angle...what's the other angle?
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
wait, so were trying to find a measurement form rope 1 to the balloon, am I right?
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
i got it already, just waiting to see how you proceed
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
that 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
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
I never took trigonometery before.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I know you haven't heard of the trigonometric functions
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you need to do it 2 steps
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
no, never. I just take basic geometry.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
do you remember what was the sinus and what was the cosinus?
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
(sigh) I don't remember. (honest, i don't want to be mean to you.)
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
hahaha, 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
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
okay, I'll take your note.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
Now you need to MEMORIZE this scheme, mathematics are also a subject to study!
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now ill draw you a triangle and you'll tell me which is the oppsite and which is the adjacent side ok?
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
I think the opposite side is left from angle A the adj side is right from Angle A.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
opposite = infront of the angle
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
adjacent = sidewards the angle
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
fine! Isn't the adjecent side the How do I Explain it! Isnt the adjecent side the sidewards of the angle?
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358715165594:dw
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
no, the other one, that's the hypotenuse
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358715296994:dw
 one year ago

hbaBest ResponseYou've already chosen the best response.0
@GCR92 is helping you,Just follow him :)
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I have to explain the whole trigonometry before you are able to solve that problem...
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I explain as simple as it is, but not simpler
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
we are going to solve 2 triangles
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
wait. I think I have it.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
we 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
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
and we can make a relationship
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
tan 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
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
oh, no i meant 21 (facepalm)
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
You could've done it if you had the value of the x side
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
but that's what we are looking for
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
to use the tangent you need to have the value of 2 sides
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I'd like to continue now
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358716138389:dw
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358716271703:dw
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358716355941:dw
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
now we take the other triangle.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
the adjacent side is not 21, 21 is the only data they give us, you can't invent it
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
listen 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
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
sin 30 = 1/2, we do that in order to calculate H
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now we take the cosinus in order to calculate X
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358716402610:dw
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358717381175:dw
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
dw:1358717481086:dw
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you can never write tan and let it alone
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
it is always tan OF SOMETHING
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
tan of x, tan of alfa, tan of 20
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
so the answer is 21 sq. root 3
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
take the 30º triangle and then, sin 30 = 1/2
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now we have the h of the first triangle
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now we can calculate the distance from the rope to underneath the balloon, that distance will be given by the cosinus
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now we go to the second triangle and apply exactly the same steps but with 45º
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
maybe my way of solving this problem was wrong. sorry.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I know but mathematics doesn't magically happen, you need to study a lot( and suffer lol) dont worry
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
if you do the same with the second triangle
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
now we calculate the cosinus
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
distance from underneath the ballon to the second rope = 36, 373 + 20,292 = 56,665 feet
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
wait, but earlier you said that x is 36 never mind :P
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
that's the distance between underneath the balloon and rope 2
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
and 20,292 ft is the distance between underneath the balloon and rope 1
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
36ft is the distance between rope 2 and 1
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
then you calculate from rope 1 to underneath the ballon and it gives you 20 ft
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you add it and you obtain the final result
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
what 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!
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
you did well! at least you had ideas! you only need to learn the theory well
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
i also think your teachers are crazy though
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
XD 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.
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
You are welcome, sure, see you! :D
 one year ago

GCR92Best ResponseYou've already chosen the best response.1
I 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
 one year ago

Falco276Best ResponseYou've already chosen the best response.1
oh, i understand, dont worry! my teachers are really nice.
 one year ago
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