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anonymous

  • one year ago

From a point 300ft from a building, the angle of elevation to the base of an antenna on the roof is 32.7 degrees. The angle of elevation to the top of the antenna is 42.3 degrees. What is the height of the antenna alone? Would this be a situation for csc sec and cot?

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  1. campbell_st
    • one year ago
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    so have you drawn a diagram... its always a good start

  2. anonymous
    • one year ago
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    |dw:1433277289602:dw|

  3. anonymous
    • one year ago
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    @campbell_st

  4. anonymous
    • one year ago
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    i don't know which one I would use :/

  5. campbell_st
    • one year ago
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    so find x, using the tan ratio |dw:1433277260515:dw|

  6. campbell_st
    • one year ago
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    well you have the adjacent and need to find the opposite...?

  7. campbell_st
    • one year ago
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    so which ratio uses opposite and adjacent..?

  8. anonymous
    • one year ago
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    tan

  9. campbell_st
    • one year ago
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    great so \[\tan(32.7) = \frac{x}{300}\] solve for x

  10. campbell_st
    • one year ago
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    repeat the process to the top of the antenna |dw:1433277446569:dw| this time find y. The height of the antenna is y - x hope it helps...

  11. anonymous
    • one year ago
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    tan(32.7) = .64 * 300 for x? so 192.6 for the first one

  12. campbell_st
    • one year ago
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    great... so repeat the process... to find y... then you can find the height of the antenna alone hope it makes sense

  13. anonymous
    • one year ago
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    thank you

  14. anonymous
    • one year ago
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    80.378 is the height of the radar :)

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