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cherrilyn

  • 4 years ago

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.

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  1. cherrilyn
    • 4 years ago
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    pleaaaaaaase help

  2. anonymous
    • 4 years ago
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    It's about 37.28 ft

  3. cherrilyn
    • 4 years ago
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    can you show me how to solve

  4. anonymous
    • 4 years ago
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    Do you want an explanation?

  5. anonymous
    • 4 years ago
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    ok

  6. cherrilyn
    • 4 years ago
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    thank you so much!

  7. anonymous
    • 4 years ago
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    |dw:1327492056293:dw|

  8. anonymous
    • 4 years ago
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    so, first, do you get the main picture?

  9. cherrilyn
    • 4 years ago
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    yes

  10. anonymous
    • 4 years ago
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    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

  11. anonymous
    • 4 years ago
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    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.

  12. cherrilyn
    • 4 years ago
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    okay ... woops i was trying to use tangent

  13. anonymous
    • 4 years ago
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    \[100\div \sin 65=x \div \sin 25\]

  14. anonymous
    • 4 years ago
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    x is the length of the distance from the base of the network station to the antennae.

  15. anonymous
    • 4 years ago
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    Haha, yeah, I do that a lot :P so, x turns out to be 46.63 meters(about)

  16. anonymous
    • 4 years ago
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    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

  17. anonymous
    • 4 years ago
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    so, using the same equation...

  18. anonymous
    • 4 years ago
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    \[100\div \sin 65=y \div \sin 40\]

  19. anonymous
    • 4 years ago
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    The result of this is 83.91(about)

  20. anonymous
    • 4 years ago
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    subtract the two and you've got 37.28 which is your answer XD

  21. anonymous
    • 4 years ago
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    The explanation's kinda funky, but do you get it?

  22. cherrilyn
    • 4 years ago
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    couldn't i just use tangent

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