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Mathematics 26 Online
OpenStudy (mtalhahassan2):

i need help

OpenStudy (mtalhahassan2):

http://prnt.sc/cuueve

OpenStudy (mtalhahassan2):

@Astrophysics @eliesaab @F_Jayyy @Lime @SerenityJustice74 @Devonhoward15

OpenStudy (serenityjustice74):

i need help wit life tew !

jimthompson5910 (jim_thompson5910):

The first step is to convert \(\Large 39^{\circ} \ 45^{\prime}\) into decimal form. Were you able to do this?

OpenStudy (mtalhahassan2):

how can we covert degree into decimal?

jimthompson5910 (jim_thompson5910):

Are you familiar with the idea of `arc-minutes`?

OpenStudy (mtalhahassan2):

no I am not

OpenStudy (mtalhahassan2):

maybe i forget

jimthompson5910 (jim_thompson5910):

so the idea that `60 arc-minutes = 1 degree` hasn't been discussed by your teacher?

OpenStudy (mtalhahassan2):

nope

jimthompson5910 (jim_thompson5910):

so it turns out that we can break up a degree into 60 equal parts each part is 1 arc-minute as you can imagine, 1 arc-minute is a very small measure that's hard to draw out accurately

jimthompson5910 (jim_thompson5910):

we have 39 full degrees plus 45 arc-minutes 60 arc-minutes = 1 degree 1 arc-minute = 1/60 degree 45 arc-minutes = 45/60 degrees 45 arc-minutes = 3/4 degrees So we have 39 full degrees plus 3/4 of a degree 39+3/4 = 39+0.75 = 39.75 degrees

jimthompson5910 (jim_thompson5910):

let me know if something doesn't make sense

OpenStudy (mtalhahassan2):

oh ok so it be 39.75 in decimal

OpenStudy (mtalhahassan2):

??

jimthompson5910 (jim_thompson5910):

yes 39.75 would go in the first box. Do you see how?

OpenStudy (mtalhahassan2):

yep!

jimthompson5910 (jim_thompson5910):

|dw:1476589648552:dw|

jimthompson5910 (jim_thompson5910):

based on that drawing I posted, are you able to find x? hint: you'll use a trig function

OpenStudy (mtalhahassan2):

tan39.75=x/115 x=95.64

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

95.64 is the approx height of the building and flagpole combined

jimthompson5910 (jim_thompson5910):

|dw:1476589845196:dw|

jimthompson5910 (jim_thompson5910):

y = height of building (ignoring flagpole) y = ???

OpenStudy (mtalhahassan2):

tan31=y/115 y=69.09

jimthompson5910 (jim_thompson5910):

I got 69.09897 If you round that to 2 decimal places, then it would become 69.10

OpenStudy (mtalhahassan2):

yes

jimthompson5910 (jim_thompson5910):

height of flagpole only = (height of building and flag) - (height of building only) height of flagpole only = x - y height of flagpole only = 95.64449 - 69.09897 height of flagpole only = 26.54552 ft approximately

OpenStudy (mtalhahassan2):

oh ok what is F + L?

jimthompson5910 (jim_thompson5910):

F+L = flag height + library height

jimthompson5910 (jim_thompson5910):

|dw:1476590265825:dw|

jimthompson5910 (jim_thompson5910):

|dw:1476590331213:dw|

jimthompson5910 (jim_thompson5910):

|dw:1476590381456:dw|

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