anonymous
  • anonymous
A television antenna 20 m high stands top of a house which 12 m high. At what distance from the base of the house will the antenna and the house subtend equal angle? A. 24 m* B. 15 m C. 31 D. 28 m the answer should be 24
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
welshfella
  • welshfella
|dw:1443354484410:dw|
welshfella
  • welshfella
so you need to find D when x = y right?
welshfella
  • welshfella
r u there?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

radar
  • radar
I'm here, but it is not my problem @welshfella, was hoping you would provide some more steps (for my own edification lol).
anonymous
  • anonymous
i have tried to solve it but i cant get 24m
anonymous
  • anonymous
we have the same drawing but still i cant get the answer
welshfella
  • welshfella
lol ok well i think we can use the double angle formula. write y for x:- so tan 2y = 2 tan y -------- 1 - tan^2 y and tan y 2y = 32/D and tan y = 12 / D
welshfella
  • welshfella
* that's tan 2y = 32 / D
anonymous
  • anonymous
what should i do next?
welshfella
  • welshfella
plug tan 2y = 32/D and tan y = 12/D into the above identity and solve for D
IrishBoy123
  • IrishBoy123
@welshfella big fat Celtic Congrats, mate!!!
welshfella
  • welshfella
|dw:1443355391490:dw|
welshfella
  • welshfella
HaHa Thanks Irish boy. We beat the English!!!!
welshfella
  • welshfella
@Jluz - can you solve that one for D?
anonymous
  • anonymous
i used my calcu shift solve but it doesnt result in to 24m
radar
  • radar
Yes is does, thanks @welshfella
anonymous
  • anonymous
@radar i cant get it my answer is 12.38
welshfella
  • welshfella
yea I get the same as you JLuz Maybe i made a mistake somewhere....
radar
  • radar
|dw:1443355873893:dw| Do you follow this far @JLuz
anonymous
  • anonymous
yes
radar
  • radar
|dw:1443355996631:dw| How about to this?
welshfella
  • welshfella
yea it does work out to 24
radar
  • radar
|dw:1443356181782:dw| and then to this?
welshfella
  • welshfella
gotta go ul leave you in capable hands of radar
radar
  • radar
Can you take it to "24" ?
anonymous
  • anonymous
i wil solve
radar
  • radar
Good As you see, I just used "cross multiplication" of the fraction.
anonymous
  • anonymous
wow yea
radar
  • radar
Good luck with your studies.
anonymous
  • anonymous
is results to 24
anonymous
  • anonymous
i have a question
anonymous
  • anonymous
why does she uses double angle formula??
radar
  • radar
Go ahead, but I think @welshfella has left, he had the incite for the solution.
radar
  • radar
Because the angle to the top of the antenna is equal to the sum of the two equal angles to the top of the house and the angle from the top of the house to the top of the antenna. In the drawing the big angle is equal to the sum of X and Y and we are told that they are equal .......... hence "double angle"
radar
  • radar
|dw:1443356763926:dw|
radar
  • radar
I was messing around trying to use the law of sines and wasn't getting anywhere, I think that double angle approach was a good idea.
anonymous
  • anonymous
i was trying to analyze your explanation haha
anonymous
  • anonymous
nosebleed haha
radar
  • radar
The use of the double angle identity was a wise choice. You will run into that identity in Trig' maybe you already have studied the trigometric identities.
anonymous
  • anonymous
ok radar thank you for your big help
anonymous
  • anonymous
it is a big help in my studies
radar
  • radar
Good luck
radar
  • radar
I think you will do well, because you knew what the answer was, but you needed to know "how" or verify that it was indeed a correct answer, that is a good trait.
anonymous
  • anonymous
as well as to @welshfella
anonymous
  • anonymous
thanks @welshfella
welshfella
  • welshfella
yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.