HELP!! I need to get this right!!!

Darren designed this triangular shaped entrance, ABC, to a mall.

Which expression can be used to find the distance between the points B and C of the entrance?

15 (cot 65° + sec 25°)

15(cot 65° + cot 25°)

Question

HELP!! I need to get this right!!! 

Darren designed this triangular shaped entrance, ABC, to a mall. 
  
 
  
Which expression can be used to find the distance between the points B and C of the entrance?

  15 (cot 65° + sec 25°)

 15(cot 65° + cot 25°)

anonymous · Answer

attachment

cwrw238 · Answer

cot 65 = bd / 15
BD = 15 cot 65
cot 25 = dc / 15
DC = 15 cot 65

BC = BD  + DC = 15( cot 65  + cot 25)

cwrw238 · Answer

note  cot x  = 1/ tan x = adjacent / opposite

mertsj · Answer

The second one.