SOLUTION: the diagram represent a simplified drawing of the timber cross-section of a roof.find the lengths of the struts BD and EG fig link http://i1383.photobucket.com/albums/ah310/rizwa

Algebra ->  Finance -> SOLUTION: the diagram represent a simplified drawing of the timber cross-section of a roof.find the lengths of the struts BD and EG fig link http://i1383.photobucket.com/albums/ah310/rizwa      Log On


   



Question 935731: the diagram represent a simplified drawing of the timber cross-section of a roof.find the lengths of the struts BD and EG
fig link http://i1383.photobucket.com/albums/ah310/rizwanmehboob66izvve/unnamed_zps50683292.jpg
http://s1383.photobucket.com/user/rizwanmehboob66izvve/media/unnamed_zps50683292.jpg.html

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
triangle BCD is isosceles triangle;
BC=CD,
B=70° => then angles C and D are 55° each

we need to find BD
use
a%2Fsin+%28A%29+=+b%2Fsin+%28B%29+=+c%2Fsin%28+C%29


BC=3m
CD=3m
BD%2Fsin%2855%29+=+3m%2Fsin%2870%29
BD+=+%283m%2Fsin%2870%29%29sin%2855%29
BD+=+%283m%2F0.93969%290.819152
BD+=+2.62m

in triangle EGF, given angle G=75°, then other two angles are 52.5° each
GF=4m
EF=4m
EG%2Fsin%2852.5%29+=+4m%2Fsin%2875%29
EG=+%284m%2Fsin%2875%29%29sin%2852.5%29
EG+=+%284m%2F0.9659258%290.787705+
EG+=+3.26m