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Babynini
 one year ago
Two wires tether a balloon to the ground as shown, how high is the balloon above the ground?
I've done it twice..
Babynini
 one year ago
Two wires tether a balloon to the ground as shown, how high is the balloon above the ground? I've done it twice..

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434516280906:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434516477919:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0the answer I keep getting for height = 371.78 but that's not correct o.0

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2dw: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
 one year ago
Best ResponseYou've already chosen the best response.2Equation (4) rearranges to give: \[\large 100 \tan 75 +\frac{h \tan 75}{\tan 85}=h\ ..........(5)\] Can you solve h?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Um.. 373.205+ (htan(75))/11.43

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0How do I solve for h if h is in the left side as well?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2Putting 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
 one year ago
Best ResponseYou've already chosen the best response.0You mean 0.6735h=  373.2 (notice this side is negative)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0How did you get 0.6735?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2No, 373.2 is not negative. \[\large \frac{h \tan 75}{\tan 85}=0.3265h\]

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0sorry, 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=h0.32658h

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2373=h0.32658h 1.00000h 0.32658h=?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0So now we divide 373 by 0.6735

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0and get 554, which is the correct answer :P

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0what was I doing that was wrong?! o.o

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2You 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
 one year ago
Best ResponseYou've already chosen the best response.0Right, I used tan first and then used the Law of Sines..

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2Your equation tan (theta) = y/100 is not understood by me. Where is y in the drawing?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0ai, I meant tan(theta)=x/100

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw: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
 one year ago
Best ResponseYou've already chosen the best response.0The equation for finding the x? to use tangent It needs to be a right triangle?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2The 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
 one year ago
Best ResponseYou've already chosen the best response.2In your usage of tan in a triangle, the triangle must be a rightangled type.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oh gosh, I didn't know that. That's really good to know o.0
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