Babynini
  • Babynini
Two wires tether a balloon to the ground as shown, how high is the balloon above the ground? I've done it twice..
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Babynini
  • Babynini
|dw:1434516280906:dw|
Babynini
  • Babynini
@sdfgsdfgs
Babynini
  • Babynini
@mukushla

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Babynini
  • Babynini
|dw:1434516477919:dw|
Babynini
  • Babynini
is that correct?
Babynini
  • Babynini
@zepdrix :)
Babynini
  • Babynini
@rational
Babynini
  • Babynini
the answer I keep getting for height = 371.78 but that's not correct o.0
kropot72
  • kropot72
|dw:1434517128031:dw| I would solve it this way: \[\large \tan 75=\frac{h}{100+x}\ ..........(1)\] \[\large \tan 85=\frac{h}{x}\ .........(2)\] Rearranging (2) we get: \[\large x=\frac{h}{\tan 85}\ ..........(3)\] Plugging the value for x from (3) into (1) gives: \[\large \tan 75=\frac{h}{100+\frac{h}{\tan 85}}\ ..........(4)\] Now solve (4) to find the value of h.
kropot72
  • kropot72
Equation (4) rearranges to give: \[\large 100 \tan 75 +\frac{h \tan 75}{\tan 85}=h\ ..........(5)\] Can you solve h?
Babynini
  • Babynini
Um.. 373.205+ (htan(75))/11.43
Babynini
  • Babynini
How do I solve for h if h is in the left side as well?
kropot72
  • kropot72
Putting values into (5) we get: \[\large 373.2+0.3265h=h\ ........(6)\] Subtracting 0.3265h from both sides gives: \[\large 0.6735h=373.2\ ..........(7)\]
Babynini
  • Babynini
You mean 0.6735h= - 373.2 (notice this side is negative)
Babynini
  • Babynini
How did you get 0.6735?
kropot72
  • kropot72
No, 373.2 is not negative. \[\large \frac{h \tan 75}{\tan 85}=0.3265h\]
Babynini
  • Babynini
sorry, I got lost on part 7 We have 373+0.32658h=h (6) if we subtract 0.32658h from both sides we would get 373=h-0.32658h
kropot72
  • kropot72
373=h-0.32658h 1.00000h -0.32658h=?
Babynini
  • Babynini
Ah, gotcha. Ok :P
kropot72
  • kropot72
Cool!
Babynini
  • Babynini
So now we divide 373 by 0.6735
kropot72
  • kropot72
Correct.
Babynini
  • Babynini
and get 554, which is the correct answer :P
Babynini
  • Babynini
what was I doing that was wrong?! o.o
kropot72
  • kropot72
You needed to form a pair of simultaneous equations to solve this question. Notice I added another variable x to the drawing. Of course we do not need to find the value of x (although we could by substitution).
Babynini
  • Babynini
Right, I used tan first and then used the Law of Sines..
kropot72
  • kropot72
Your equation tan (theta) = y/100 is not understood by me. Where is y in the drawing?
Babynini
  • Babynini
ai, I meant tan(theta)=x/100
Babynini
  • Babynini
|dw:1434519774006:dw| tan(75)=x/100 100tan75)=373.205 Then I did the law of sines a/(sin85) = x/sin90 a= (xsin85)/(sin(90)) so the height = 371.78
Babynini
  • Babynini
The equation for finding the x? to use tangent It needs to be a right triangle?
kropot72
  • kropot72
The triangle with x, 75 degrees and a side length of 100 units is not a right angled triangle. Therefore your equation is not valid.
kropot72
  • kropot72
In your usage of tan in a triangle, the triangle must be a right-angled type.
Babynini
  • Babynini
oh gosh, I didn't know that. That's really good to know o.0
kropot72
  • kropot72
You're welcome :)
Babynini
  • Babynini
ok, thanks :)

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