At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

ok let me see

21 feet by 21 feet.
I just have to find out the measurement to rope 2

they are asking you the distance between rope 2 and underneath the balloon right?

yes, exactly.

just to make sure i understood well, i remind you i'm not english!! hehehe

ok

lemme get a paper so i can explain better

|dw:1358712594988:dw|

the distance between rope 2 and 1 is x right? as the drawing says

yes, but I found the half of X which is 45.

look at the drawing, am I right?

I only have to fing the measurement that is the question mark.

*find

you have 2 angles if you notice

i noticed that.

apply pitagoras

ah well you need to find the sides first, nevermind

sides?

you gonna solve the problem like this

x: distance from rope 2 to underneath the balloon - distance from rope 1 to underneath the balloon

distance from rope 1 to underneath the balloon = 45.

Im trying to figure out rope 2

how do you know its 45? 45 is the given angle

NO NO NO NO!!!!!

Im solving it, wait

I have it wrong!

it has a lot to do with sinus and cosinus

its 21!!!!!!
Its 21!!!!

well first you need to remember that sinus = op side / h

we are measuring from rope 1 to balloon now, so sin 30 right?

i tell you that sin 30 = 1/2

so you gonna put 1/2 = 21ft / h right?

solve for h and then you have the hypotenuse

what do you think you can do next

there are many ways to solve this problem

um, okay.

also remember that all the angles of a triangle = 180, if this doesn't happen, it's not a triangle

so if you have a 90º angle, a 30º angle...what's the other angle?

wait, so were trying to find a measurement form rope 1 to the balloon, am I right?

yep

i got it already, just waiting to see how you proceed

I never took trigonometery before.

I know you haven't heard of the trigonometric functions

you need to do it 2 steps

no, never. I just take basic geometry.

ok look

|dw:1358713814089:dw|

do you remember what was the sinus and what was the cosinus?

(sigh)
I don't remember. (honest, i don't want to be mean to you.)

okay, I'll take your note.

|dw:1358714056382:dw|

Now you need to MEMORIZE this scheme, mathematics are also a subject to study!

ok.

|dw:1358714498016:dw|

I think the opposite side is left from angle A
the adj side is right from Angle A.

nope

just read its name

opposite = infront of the angle

adjacent = sidewards the angle

alongside of it

draw it

|dw:1358715165594:dw|

no, the other one, that's the hypotenuse

|dw:1358715296994:dw|

yep

I have to explain the whole trigonometry before you are able to solve that problem...

(sigh)
ok.

I explain as simple as it is, but not simpler

ok

ok i put the turbo now

we are going to solve 2 triangles

|dw:1358715724015:dw|

wait. I think I have it.

For the 45° triangle

and sinus = op side / h

and we can make a relationship

an equation

is this correct?

where did you get 15?

oh, no i meant 21
(facepalm)

You could've done it if you had the value of the x side

but that's what we are looking for

to use the tangent you need to have the value of 2 sides

I'd like to continue now

|dw:1358716138389:dw|

why?

|dw:1358716271703:dw|

|dw:1358716355941:dw|

now we take the other triangle.

the adjacent side is not 21, 21 is the only data they give us, you can't invent it

sin 30 = 1/2, we do that in order to calculate H

1/2 = 21 / h

h= 42

now we take the cosinus in order to calculate X

cos 30 = sqrt 3 / 2

sqrt 3 / 2 = 42 / x

x = 36.373

|dw:1358716402610:dw|

|dw:1358717381175:dw|

|dw:1358717481086:dw|

you can never write tan and let it alone

it is always tan OF SOMETHING

tan of x, tan of alfa, tan of 20

so the answer is 21 sq. root 3

ill solve it

2 triangles

take the 30º triangle and then, sin 30 = 1/2

1/2 = 21 / h, h = 42

now we have the h of the first triangle

cos 30 = sqrt 3 / 2

sqrt 3 /2 = x/42

x = 36,373

now we go to the second triangle and apply exactly the same steps but with 45º

maybe my way of solving this problem was wrong.
sorry.

i tried my best.

I know but mathematics doesn't magically happen, you need to study a lot( and suffer lol) dont worry

if you do the same with the second triangle

sin 45 = sqrt 2 / 2

sqrt 2 / 2 = 21 / h

h = 29.698

now we calculate the cosinus

cos 45 = sqrt 2 / 2

sqrt 2 / 2 = x / 28,698

x = 20,292

distance from underneath the ballon to the second rope = 36, 373 + 20,292 = 56,665 feet

and it's solved

wait, but earlier you said that x is 36- never mind :P

that's the distance between underneath the balloon and rope 2

ah, i see.

and 20,292 ft is the distance between underneath the balloon and rope 1

sorry

got it.

36ft is the distance between rope 2 and 1

then you calculate from rope 1 to underneath the ballon and it gives you 20 ft

you add it and you obtain the final result

okay.

needed*

you did well! at least you had ideas! you only need to learn the theory well

i also think your teachers are crazy though

You are welcome, sure, see you! :D

thanks! (thumbs up)

oh, i understand, dont worry! my teachers are really nice.