+0  
 
0
30
1
avatar+22 

Find DB in the diagram below

 

[asy]
size(250);

pair A,B,C,D;

A=origin;
B=(4,0);
C=3dir(30);
D=(2.3,0);

draw(C--A--B--C--D);

dot("$A$",A,SW);
dot("$B$",B,SE);
dot("$C$",C,N);
dot("$D$",D,S);

label("$2$",A--D,S);
label("$30^\circ$",A,6dir(15));
label("$45^\circ$",B,4dir(158));
label("$60^\circ$",C,5dir(-75));
[/asy]

 Jun 22, 2022
 #1
avatar
0

BD = sqrt(2).

 Jun 22, 2022

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