anonymous
  • anonymous
A surveyor measures the angle of elevation to a point on a mountain, that is 6 miles away, to be 15 degrees. The vertical change in the elevation from the point where the surveyor is standing to the point on the mountain is ??? miles. (Round your answer to the nearest hundredth of a mile)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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johnweldon1993
  • johnweldon1993
I believe it would be like |dw:1370377536803:dw| since it asks for the vertical change so what trig function uses an angle....a side adjacent to that angle...and a side opposite that angle?
anonymous
  • anonymous
tangent
anonymous
  • anonymous
i think

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johnweldon1993
  • johnweldon1993
Yes you are correct...tangent = opposite / adjacent
johnweldon1993
  • johnweldon1993
so then how would you set up your equation?
anonymous
  • anonymous
\[\tan 15 = \frac{ x }{ 6 }\]
johnweldon1993
  • johnweldon1993
perfect...and then solve for 'x'
anonymous
  • anonymous
but when i do it, it is less than six
johnweldon1993
  • johnweldon1993
Don't forget...6 miles...is how far away he is seeing the mountain from....so from that distance...the vertical change between the mountain peak and his standing spot would be completely unrelated to the 6 miles away that he is
anonymous
  • anonymous
oh, wow. Thanks man
johnweldon1993
  • johnweldon1993
so the 1.61 miles that you should be getting...WOULD be the answer
anonymous
  • anonymous
it makes sense now. ty
johnweldon1993
  • johnweldon1993
no problem!

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