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jadekelllly

  • one year ago

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.

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  1. amistre64
    • one year ago
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    what are your trig ratios?

  2. jadekelllly
    • one year ago
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    im not too sure but here is the picture

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  3. amistre64
    • one year ago
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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

  4. amistre64
    • one year ago
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    |dw:1371744935406:dw|

  5. amistre64
    • one year ago
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    |dw:1371744994831:dw|

  6. jadekelllly
    • one year ago
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    I do know that the angle of elevation is 39.4

  7. amistre64
    • one year ago
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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

  8. amistre64
    • one year ago
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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

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

  10. jadekelllly
    • one year ago
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    the answer was 38.6 or something.

  11. amistre64
    • one year ago
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    yes, 38.66 rnded as needed

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

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