What is the smaller angle formed by the minute and hour hands at 3:30pm?
[asy]
unitsize(...
Mathematics, 06.02.2021 21:50 suzyleonardsl0
What is the smaller angle formed by the minute and hour hands at 3:30pm?
[asy]
unitsize(50);
draw(Circle((0,0),1),black+1);
dot((0,0));
for(real i=0;i<360;i+=6){
draw(0.96*(cos(i*pi/180),sin(i*pi /180))--(cos(i*pi/180),sin(i*pi/180 )),black+0.5);
};
for(real i=30;i<390;i+=30){
draw(0.93*(cos(i*pi/180),sin(i*pi /180))--(cos(i*pi/180),sin(i*pi/180 )),black+0.5);
label(string(i/30),0.83*(sin(i*pi /180),cos(i*pi/180)));
};
real h=3.5; real m=30;
draw(0.65*(sin(pi/6*(h)),cos(pi/6 *(h)))--(0,0)--0.9*(sin(pi/30*m),co s(pi/30*m)),black+1,Arrows(TeXHead) );
draw(anglemark(dir(-90),origin, dir(-15),5));
[/asy]
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