Question

What is the length of Segment AB to the nearest tenth of a meter?

Answer 1

\[AB=AD+DB\]
\[\cos(60°)=\sin(30°)=\frac{AD}{14}\]
\[\sin(60°)=\cos{(30°)}=\frac{DC}{14}\]

Answer 2

Do I then need to use the sin and cosine formula to figure the rest out?

Answer 3

i still cannot see myself how to get DB

Answer 4

lets assume its 30

Answer 5

very rough DB~7

Answer 6

what do the first two equal?

Answer 7

actually you can work out angle DCB with a trig identity, because be know two of the sides, and then use another trig identity to find DB

Answer 8

the first two what? @Qwerty90

Answer 9

when you gave those first few ratios.. the AD/14 and DC/14 what do those equal

Answer 10

you dont know the values of sin 30=cos60?
you must remember theses
if you dont remember you can use a calculator

Answer 11

yes i know those..

Answer 12

\[\sin60°=\cos30°\] is a little bit tricker on a calculator, because the value given is irrational but you can square the output 0.86602540...
0.86602540...^2=0.75=3/4
so
\[\sin60°=\cos30°= \sqrt{\frac{3}{4}}=\frac{\sqrt3}2\]