anonymous
  • anonymous
I really need help solving the following geomtry problem if anyone can help me. It goes like this: Jake is standing on the ground by a mesa in the desert. He is 1.8 meters tall and sights the top of the mesa at 29 degrees. Jake steps back 100 meters and sights the top at 25 degrees. How tall is the mesa? We have been using sine, cosine, and tangent but when I draw out my picture, I seem not to have enough information to use them (no complete side). Am I reading this problem wrong?
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
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amistre64
  • amistre64
tan(25) = h/(100+d) tan(29) = h/d
amistre64
  • amistre64
d = h/tan(29) tan(25) = h/(100 +(h/tan(29)))

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amistre64
  • amistre64
tan(25) = h/(100tan(29)+h)/tan(29)) tan(25) = tan(29)h / 100tan(29) +h
amistre64
  • amistre64
tan(25) (100tan(29)+h) = tan(29)h
amistre64
  • amistre64
100tan(25)tan(29) + tan(25)h = tan(29)h 100tan(25)tan(29) = tan(29)h - tan(25)h 100tan(25)tan(29) = h(tan(29) - tan(25)) 100tan(25)tan(29) --------------- = h.....and add the 1.8 tan(29) - tan(25)
amistre64
  • amistre64
295.521 give or take :)
anonymous
  • anonymous
You are awesome! Many thanks amistre 64. I get it. substitution! Many thanks!
amistre64
  • amistre64
youre welcome :)
anonymous
  • anonymous
Hey amistre64. I am new here and I just wanted to say thanks again. You are a life saver and I totally got it - okay, it took me some thinking, but I did get it. How so these medals work? I'd give you gold star if I could. Thank you, thank you for being there so quickly for me!

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