227k views
3 votes
HELP asap  AB=85m

 Find the length of Line  CD
HELP asap AB=85m Find the length of Line CD-example-1

1 Answer

5 votes
CD = x
BC = y
AB = 85
BD = BC+CD = y+x

tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257

tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117

So CD is roughly 5.877850926117 meters

User John Ernest
by
6.7k points