cherrilyn
  • cherrilyn
trigonometry!! a man standing 100ft away from a radio station observes that the angle of elevation to the base of the antenna mounted at the edge of the roof on top of the building is 25degrees. he also notices that the angle of elevation to the top of the antenna is 40degrees. approximate the height of the antenna on top of the building to the neraest foot.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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cherrilyn
  • cherrilyn
pleaaaaaaase help
anonymous
  • anonymous
It's about 37.28 ft
cherrilyn
  • cherrilyn
can you show me how to solve

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anonymous
  • anonymous
Do you want an explanation?
anonymous
  • anonymous
ok
cherrilyn
  • cherrilyn
thank you so much!
anonymous
  • anonymous
|dw:1327492056293:dw|
anonymous
  • anonymous
so, first, do you get the main picture?
cherrilyn
  • cherrilyn
yes
anonymous
  • anonymous
The angle between formed by the base of the radio station, the person, and the top is 40 degrees and the angle formed between the person, base, and the bottom of the antennae is 25
anonymous
  • anonymous
This is where the sine rule comes in. We have the length of one side: 100m We know every angle in the system. These conditions make the sine rule the best formula.
cherrilyn
  • cherrilyn
okay ... woops i was trying to use tangent
anonymous
  • anonymous
\[100\div \sin 65=x \div \sin 25\]
anonymous
  • anonymous
x is the length of the distance from the base of the network station to the antennae.
anonymous
  • anonymous
Haha, yeah, I do that a lot :P so, x turns out to be 46.63 meters(about)
anonymous
  • anonymous
then, we need to find the whole distance from top to bottom. Once you get the whole distance and subtract 46.63, we get the part you're looking for
anonymous
  • anonymous
so, using the same equation...
anonymous
  • anonymous
\[100\div \sin 65=y \div \sin 40\]
anonymous
  • anonymous
The result of this is 83.91(about)
anonymous
  • anonymous
subtract the two and you've got 37.28 which is your answer XD
anonymous
  • anonymous
The explanation's kinda funky, but do you get it?
cherrilyn
  • cherrilyn
couldn't i just use tangent

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