anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
what are your trig ratios?
anonymous
  • anonymous
im not too sure but here is the picture
1 Attachment
amistre64
  • amistre64
you need to be able to determine which trig function to use to determine which inverse to apply with its ratio

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amistre64
  • amistre64
|dw:1371744935406:dw|
amistre64
  • amistre64
|dw:1371744994831:dw|
anonymous
  • anonymous
I do know that the angle of elevation is 39.4
amistre64
  • amistre64
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
amistre64
  • amistre64
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
amistre64
  • amistre64
tan(a) = over/next.to tan(a) = 6/7.5 a = tan^(-1)(6/7.5)
anonymous
  • anonymous
the answer was 38.6 or something.
amistre64
  • amistre64
yes, 38.66 rnded as needed
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=arctan%286%2F7.5%29

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