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a surveyor with a 6 foot transit measures a 12 degree angle of depression from the top of a building he is on, to the top of another building that he knows is exactly 245 feet away (horizontally). if the building he is on is 54 feet tall, how tall is the other building

 Jan 31, 2017

Best Answer 

 #1
avatar+14985 
+5

a surveyor with a 6 foot transit measures a 12 degree angle of depression from the top of a building he is on, to the top of another building that he knows is exactly 245 feet away (horizontally). if the building he is on is 54 feet tall, how tall is the other building

 

\(h=54ft-245ft\times tan 12^0 = 54ft-52.0763ft=1.9236ft\)

 

\(The \ other \ "building" is \ 1.9236\ ft \ high. \)

\(Maybe \ one \ of \ building \ blocks.\)

 

laugh !

 Feb 1, 2017
edited by asinus  Feb 1, 2017
edited by asinus  Feb 1, 2017
edited by asinus  Feb 1, 2017
 #1
avatar+14985 
+5
Best Answer

a surveyor with a 6 foot transit measures a 12 degree angle of depression from the top of a building he is on, to the top of another building that he knows is exactly 245 feet away (horizontally). if the building he is on is 54 feet tall, how tall is the other building

 

\(h=54ft-245ft\times tan 12^0 = 54ft-52.0763ft=1.9236ft\)

 

\(The \ other \ "building" is \ 1.9236\ ft \ high. \)

\(Maybe \ one \ of \ building \ blocks.\)

 

laugh !

asinus Feb 1, 2017
edited by asinus  Feb 1, 2017
edited by asinus  Feb 1, 2017
edited by asinus  Feb 1, 2017
 #3
avatar+14985 
0

I've forgotten the six feet.
So

 

\(h=54ft+6ft-254ft\times tan 12^0 = 60ft-53.989ft=6.01063ft\)

 

\(The \ other \ "building" is \ 6.0106\ ft \ high. \)

\( Maybe \ a \ garden \ holiday.\)

 

laugh !

asinus  Feb 1, 2017

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