[npl] / trunk / NationalProblemLibrary / Rochester / setTrig09Laws / srw6_4_27.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/NationalProblemLibrary/Rochester/setTrig09Laws/srw6_4_27.pg

Thu Aug 16 23:07:34 2007 UTC (5 years, 9 months ago) by jj
File size: 1505 byte(s)
```Moved problems back into place in the Rochester library, and set up
redirect files from their former locations.
```

```    1 ##DESCRIPTION
2 ## Algebra: Trigonometry of right triangles
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('algebra', 'trigonometry', 'The law of sines')
6
7 ## tcao , PAID on 11-24-2003
8
9 ## DBsubject('Trigonometry')
10 ## DBchapter('Trigonometric Functions of Angles')
11 ## DBsection('The Law of Sines')
12 ## Date('6/3/2002')
13 ## Author('')
14 ## Institution('')
15 ## TitleText1('Precalculus')
16 ## EditionText1('3')
17 ## AuthorText1('Stewart, Redlin, Watson')
18 ## Section1('6.4')
19 ## Problem1('27')
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
32
33 \$b=random(95,105,1);
34
35 TEXT(EV2(<<EOT));
36 A communication tower (the side CB) is located at the top (the point C) of
37 a steep hill.
38 The angle of inclination of the hill is 58 degrees. A guy wire is to be
39 attached 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
41 \( \angle BAC \) in the figure is 12 degrees.
42 See the graph
43 \$PAR \{ image("c6s4p27.gif") \} \$PAR
44 \$BBOLD Click on the graph to view a larger graph\$EBOLD
45 \$BR
46 Find the length of cable (the side AB) required for the guy wire.
48 \$BR
49 EOT
50
51 \$ac=180-(90-58);
52 \$ab=180-\$ac-12;
53 \$ans1=\$b*sin(\$PI*\$ac/180)/sin(\$PI*\$ab/180);
54
55 ANS(num_cmp(\$ans1));
56
57 ENDDOCUMENT();        # This should be the last executable line in the problem.
```