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jadekelllly

Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.

  • 10 months ago
  • 10 months ago

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  1. amistre64
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    what are your trig ratios?

    • 10 months ago
  2. jadekelllly
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    im not too sure but here is the picture

    • 10 months ago
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  3. amistre64
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    you need to be able to determine which trig function to use to determine which inverse to apply with its ratio

    • 10 months ago
  4. amistre64
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    |dw:1371744935406:dw|

    • 10 months ago
  5. amistre64
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    |dw:1371744994831:dw|

    • 10 months ago
  6. jadekelllly
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    I do know that the angle of elevation is 39.4

    • 10 months ago
  7. amistre64
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    the angle of depression relates to how far he tilts his head to look down, in this case its that same angle at the right side. i think that 39.4 is a bit too big for it tho ... close, but just a little off

    • 10 months ago
  8. amistre64
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    it might be worth noting that both cosine and sine use the slanted part of the triangle, and since that measure is not given its prolly best to use the tangent function

    • 10 months ago
  9. amistre64
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    tan(a) = over/next.to tan(a) = 6/7.5 a = tan^(-1)(6/7.5)

    • 10 months ago
  10. jadekelllly
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    the answer was 38.6 or something.

    • 10 months ago
  11. amistre64
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    yes, 38.66 rnded as needed

    • 10 months ago
  12. amistre64
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    http://www.wolframalpha.com/input/?i=arctan%286%2F7.5%29

    • 10 months ago
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