[npl] / trunk / NationalProblemLibrary / ASU-topics / setTrigApplications / srw6_4_27.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# Diff of /trunk/NationalProblemLibrary/ASU-topics/setTrigApplications/srw6_4_27.pg

Revision 177 Revision 178
20DOCUMENT(); # This should be the first executable line in the problem. 20DOCUMENT(); # This should be the first executable line in the problem.
21 21
23"PG.pl", 23"PG.pl",
24"PGbasicmacros.pl", 24"PGbasicmacros.pl",
25"PGchoicemacros.pl",
27"PGauxiliaryFunctions.pl"
28); 26);
29 27
30TEXT(&beginproblem); 28TEXT(&beginproblem);
32 30
33\$b=random(95,105,1); 31\$b=random(95,105);
34 32
35TEXT(EV2(<<EOT)); 33BEGIN_TEXT
36A communication tower (the side CB) is located at the top (the point C) of 34A communication tower (the side CB) is located at the top (the point C) of
37a steep hill. 35a steep hill.
38The angle of inclination of the hill is 58 degrees. A guy wire is to be 36The angle of inclination of the hill is 58 degrees. A guy wire is to be
39attached to the top (the point B) of the tower and to the ground (the point A), 37attached to the top (the point B) of the tower and to the ground (the point A),
40\$b m downhill from the base of the tower (the side AC). The angle 38\$b meters downhill from the base of the tower (the side AC). The angle
41\( \angle BAC \) in the figure is 12 degrees. 39\( \angle BAC \) in the figure is 12 degrees.
42See the graph 40See the graph
41\$BR\$BR
42\$BCENTER
43\$PAR \{ image("c6s4p27.gif",tex_size=>200) \} \$PAR 43\{ image("c6s4p27.gif",tex_size=>200) \} \$BR
44\$BBOLD Click on the graph to view a larger graph\$EBOLD 44\$BBOLD Note: \$EBOLD Click on the graph to view a larger graph
45\$ECENTER
46\$BR
45\$BR 47\$BR
46Find the length of cable (the side AB) required for the guy wire. 48Find the length of cable (the side AB) required for the guy wire.
49EOT 51END_TEXT
50 52
51\$ac=180-(90-58); 53\$ac=180-(90-58);
52\$ab=180-\$ac-12; 54\$ab=180-\$ac-12;
53\$ans1=\$b*sin(\$PI*\$ac/180)/sin(\$PI*\$ab/180);
54 55
55&ANS(std_num_cmp(\$ans1)); 56ANS(num_cmp("\$b*sin(\$ac pi/180)/sin(\$ab pi/180)"));
56 57
57ENDDOCUMENT(); # This should be the last executable line in the problem. 58ENDDOCUMENT(); # This should be the last executable line in the problem.

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 Removed from v.177 changed lines Added in v.178