anonymous
  • 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)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1438738321170:dw|
anonymous
  • 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
  • wolf1728
Height should be easy Triangle BAG is a 45 45 90 triangle so its height is 14 feet

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anonymous
  • anonymous
yea I calculated that by using tan so did i do it right ? \[\tan 45 = h/ 14 \] right ??? thats the right equation ?
wolf1728
  • wolf1728
Yes tangent = opposite/adjacent
anonymous
  • anonymous
ok i had to multiply , them which gave me 14 in the end. it threw me off.
wolf1728
  • 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
  • anonymous
wait where did the 26 come from ...
wolf1728
  • wolf1728
Distance from lighthouse 14 ft + 12 ft = 26 feet
anonymous
  • 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
  • anonymous
we are looking at the whole shape correct ?|dw:1438739344220:dw|
wolf1728
  • wolf1728
Yes, that's right (kind of a lousy problem that uses a 14 foot lighthouse - kinda small isn't it?)
anonymous
  • 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
  • anonymous
soo a is 14 b is 28.3 since we have to round to the nearest tenth now for c
wolf1728
  • 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
  • anonymous
yea i looked it up since i was confused if 14 was correct
anonymous
  • anonymous
then we divide by two right or ?
wolf1728
  • wolf1728
They say it should be 71? Did you type up the question exactly as it is written?
anonymous
  • 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
  • anonymous
well whats next for c ? @wolf1728
wolf1728
  • wolf1728
the third angle would be 180 - 135 -28.3 degrees
wolf1728
  • wolf1728
= 16.7 degrees
anonymous
  • anonymous
ohhh ! alright :) ! thank you so much for helping me today i have not had any good help in a while.
wolf1728
  • wolf1728
glad to help :-)

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