Answer:
Explanation:
since the two angles are the same we can set up a relationship between the two triangles and set them equal to each other and solve for X :) , as follows
SOH sin = Opp / Hyp
triangle 1 ) sin(Ф) = x / 12
triangle 2 ) sin(Ф) = x + 5 / 27
since sin(Ф) is the same for each triangle.. set those other sides equal to each other
x/12 = x+5 /27
now solve for x using your mad algebra skilz :P
27 / 12 = x + 5 / x
2 3/12 = x/x + 5/x
2 1/4 = 1 + 5/x
1 1/4 = 5/x
x = 5 / 1 1/4
x = 4 nice :)
So BD is then
4 + 4+5
so BD = 13
tell your professor / teacher that you figured it out all on your own :D
( yes.. that was tricky to figure out )