anonymous
  • anonymous
Does anyone know the answer to this word problem? Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°. a.find the height, h, of the lighthouse. b.Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse. c.To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
do Pythagorean therom to find height
anonymous
  • anonymous
oh sorry I know the height already I just dont know the formula
anonymous
  • anonymous
... for the other two

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anonymous
  • anonymous
a2+b2=c2
anonymous
  • anonymous
tan Θ = opposite/adjacent
AkashdeepDeb
  • AkashdeepDeb
|dw:1434409325087:dw|
AkashdeepDeb
  • AkashdeepDeb
x + y + 135 = 180 [ASP of a triangle] x + tan^(-1) 7 + 135 = 180 x = 180 - ( 135 + tan^(-1) 7 )
anonymous
  • anonymous
|dw:1434409514062:dw|
anonymous
  • anonymous
the calculator have me this for your formula 0.4877325886
anonymous
  • anonymous
gave*
anonymous
  • anonymous
for which value? and is your calculator in degree mode?
AkashdeepDeb
  • AkashdeepDeb
Yes. And that's absolutely correct. Because that is in radians and your question's measure of angle is in degrees.
anonymous
  • anonymous
so y = 48 then
anonymous
  • anonymous
no. what did you enter?
anonymous
  • anonymous
did you do \[\tan^{-1} \frac{ 14 }{ 26 }\]
anonymous
  • anonymous
oh no I just did reg tan
anonymous
  • anonymous
87.7 degrees
anonymous
  • anonymous
It seems like you're not entering something right on your calculator. http://www.wolframalpha.com/input/?i=tan^-1%2814%2F26%29
anonymous
  • anonymous
idk I will just use that calculator from now on
anonymous
  • anonymous
ok, so y = 28.3°
anonymous
  • anonymous
|dw:1434410282665:dw|
anonymous
  • anonymous
yup I just did that, thanks for your help
anonymous
  • anonymous
you're welcome

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