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- anonymous

~Will give medal to the person who helps ~
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
(picture will be below)

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- anonymous

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- anonymous

|dw:1438738321170:dw|

- anonymous

soo far I was thinking maybe I should be using Tan for A to get the value of h ~ but im a little iffy if im right

- wolf1728

Height should be easy
Triangle BAG is a 45 45 90 triangle so its height is 14 feet

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- anonymous

yea I calculated that by using tan so did i do it right ? \[\tan 45 = h/ 14 \] right ??? thats the right equation ?

- wolf1728

Yes tangent = opposite/adjacent

- anonymous

ok i had to multiply , them which gave me 14 in the end. it threw me off.

- wolf1728

Now for part B
Kelly's angle would be
the arc tangent of (14/26)=
the arc tangent of 0.5384615385
=28.301 degrees

- anonymous

wait where did the 26 come from ...

- wolf1728

Distance from lighthouse
14 ft + 12 ft = 26 feet

- anonymous

oh so we just had to combine the distance of both, well the 14 thats the height of the light house. ohh i under stand now ~~

- anonymous

we are looking at the whole shape correct ?|dw:1438739344220:dw|

- wolf1728

Yes, that's right
(kind of a lousy problem that uses a 14 foot lighthouse - kinda small isn't it?)

- anonymous

I looked up the question for help on how to do it but they kept saying its 71 for a which is weird since its kind of impossible to get 71.

- anonymous

soo a is 14
b is 28.3 since we have to round to the nearest tenth
now for c

- wolf1728

They are saying height = 71?
Okay for part c
we know y = 28.3
The angle to the right of the 45 degree angle would be
180 - 45 = 135 degrees

- anonymous

yea i looked it up since i was confused if 14 was correct

- anonymous

then we divide by two right or ?

- wolf1728

They say it should be 71?
Did you type up the question exactly as it is written?

- anonymous

yea , I did and it came to open study. but they made me even more confused. they had the same model everything same question.

- anonymous

well whats next for c ? @wolf1728

- wolf1728

the third angle would be 180 - 135 -28.3 degrees

- wolf1728

= 16.7 degrees

- anonymous

ohhh ! alright :) ! thank you so much for helping me today i have not had any good help in a while.

- wolf1728

glad to help :-)

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