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- 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

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- anonymous

- katieb

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- anonymous

do Pythagorean therom to find height

- anonymous

oh sorry I know the height already
I just dont know the formula

- anonymous

...
for the other two

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- anonymous

a2+b2=c2

- anonymous

tan Θ = opposite/adjacent

- AkashdeepDeb

|dw:1434409325087:dw|

- AkashdeepDeb

x + y + 135 = 180 [ASP of a triangle]
x + tan^(-1) 7 + 135 = 180
x = 180 - ( 135 + tan^(-1) 7 )

- anonymous

|dw:1434409514062:dw|

- anonymous

the calculator have me this for your formula 0.4877325886

- anonymous

gave*

- anonymous

for which value? and is your calculator in degree mode?

- AkashdeepDeb

Yes. And that's absolutely correct. Because that is in radians and your question's measure of angle is in degrees.

- anonymous

so y = 48 then

- anonymous

no. what did you enter?

- anonymous

did you do \[\tan^{-1} \frac{ 14 }{ 26 }\]

- anonymous

oh no I just did reg tan

- anonymous

87.7 degrees

- 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

idk I will just use that calculator from now on

- anonymous

ok, so y = 28.3°

- anonymous

|dw:1434410282665:dw|

- anonymous

yup
I just did that, thanks for your help

- anonymous

you're welcome

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