Is the shown angle acute, right, or obtuse?
var ANGLE_TWO = ANGLE_ONE + DIFF;
var ANGLE_ONE_R = ANGLE_ONE * PI / 180;
var ANGLE_TWO_R = ANGLE_TWO * PI / 180;
init({
range: [ [-11, 31], [-10, 10] ],
scale: 20
});
path([ [5 * cos( ANGLE_ONE_R ), 5 * sin( ANGLE_ONE_R )], [0, 0], [5 * cos( ANGLE_TWO_R ), 5 * sin( ANGLE_TWO_R )] ]);
DIFF == 90 ? path([ [1 * cos( ANGLE_ONE_R ), 1 * sin( ANGLE_ONE_R )], [sqrt(2) * cos( ANGLE_ONE_R + PI / 4 ), sqrt(2) * sin( ANGLE_ONE_R + PI / 4)], [1 * cos( ANGLE_TWO_R ), 1 * sin( ANGLE_TWO_R )] ]) : arc( [0,0], 1, ANGLE_ONE, ANGLE_TWO );
addMouseLayer();
graph.protractor = protractor([14, -8]);
graph.protractor.moveTo( 0, 0 );
graph.protractor.rotateTo( 540 - ANGLE_ONE - DIFF );
The shown angle measures less than 90^\circ.
label( [ 9 * cos( toRadians( ANGLE_ONE ) ), 9 * sin( toRadians( ANGLE_ONE ) ) ], "\\color{" + PINK + "}{" + DIFF + "^{\\circ}}" );
Therefore, it is an acute angle.