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anonymous
 4 years ago
A wire is stretched from the ground to the top of an antenna tower. The wire is 10 ft long. The height of the tower is 2ft greater than the distance d from the tower's base to the end of the wire. Find the distance d and height of the tower?
anonymous
 4 years ago
A wire is stretched from the ground to the top of an antenna tower. The wire is 10 ft long. The height of the tower is 2ft greater than the distance d from the tower's base to the end of the wire. Find the distance d and height of the tower?

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saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328486093894:dwUsing Pythagoras Theorm

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0\[d^2 + (d+2)^2 = 10^2\]Now solve.

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0\[d^2 + d^2 + 4d + 4 = 100\] \[2d^2 + 4d 96 = 0\] \[d^2 + 2d  58=0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328485945617:dwApply the pythagorean theorem:\[c^{2} = a^{2}+b^{2}\]\[10^{2} = x^{2}+(x+2)^{2}\]Then solve for x:\[100 = x^{2}+(x^{2}+4x+4)\]\[100 = 2x^{2}+4x+4\]\[0 = 2(x^{2}+2x48)\]\[0 = x^{2}+2x+48\] \[0 = (x+8)(x6)\]\[x = 8, 6\]8 wouldn't work, so x is 6.

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Now since x = 6. It means that base is 6. And the height was (d+2) So it means, 6 + 2 = 8

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So the distance is 6 ft and the height is 8 ft?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0And you can check it by using the pythagorean theorem:\[6^2 + 8^2 = 10^2\]\[36+64 = 100\]\[100 = 100\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh and how do you add those pictures??

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Use the "DRAW" tool.dw:1328486987668:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328486943638:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0do you guys know how to do this one?

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328487295843:dw

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0It must be a Parallelogram?dw:1328487359034:dwLike that?

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328487518009:dwWhich one is it from these two?

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Then it's a Trapizium.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so how do I solve it?

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0So the formula for the are is, \[Area = \frac12 * h * (\text{sum of parallel sides})\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok...what else? helppp meee i'm so lost!

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Lol. Ok, so \[208 = \frac12 ( 4)(2x12 + 2x)\]Im sure u can solve now? :D

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait so did you get 8x^2 24?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thats the length of the two bases?

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Nope, since we got the value of "x". we can substitute the value in For the top one, 2x  12 2(29)  12 46 For the below one, 2(x) 2(29) 58.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So the total is 104 then? Thank you so much!!

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0NO! we do not need their sum! We want the values for the Top Side and the Most Bottom Side.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ohhh ok gotcha, so i just separate it with a comma. Like: the lengths of the two bases are 46,58?
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