"M" cosine left parenthesis, "H" , right parenthesisMcosH
"M" sine left parenthesis, "H" , right parenthesisMsinH
r2c3:
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"f" Subscript, 30 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "M" cos left parenthesis, "H" , right parenthesis , right parenthesisf30bottomMcosH
r3c3:
r4c3:
37
"x" Subscript, 150 , Baselinex150
"y" Subscript, 150 , Baseliney150
"x" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baselinexarrowtop
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"M" sine left parenthesis, "H" , right parenthesisMsinH
r2c3:
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"f" Subscript, 150 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "M" cos left parenthesis, "H" , right parenthesis , right parenthesisf150bottomMcosH
r3c3:
r4c3:
38
"x" Subscript, 210 , Baselinex210
"y" Subscript, 210 , Baseliney210
"x" Subscript, "a" "r" "r" "o" "w" "b" "o" "t" "t" "o" "m" , Baselinexarrowbottom
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"M" sine left parenthesis, "H" , right parenthesisMsinH
r2c3:
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"f" Subscript, 210 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "M" cos left parenthesis, "H" , right parenthesis , right parenthesisf210bottomMcosH
r3c3:
r4c3:
39
"x" Subscript, 330 , Baselinex330
"y" Subscript, 330 , Baseliney330
"x" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baselinexarrowtop
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"M" sine left parenthesis, "H" , right parenthesisMsinH
r2c3:
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"f" Subscript, 330 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "M" cos left parenthesis, "H" , right parenthesis , right parenthesisf330bottomMcosH
r3c3:
r4c3:
40
Expression 41: "f" Subscript, 30 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "x" , right parenthesis equals "M" sine left parenthesis, "H" , right parenthesis minus StartFraction, 0.2 "M" sin left parenthesis, "H" , right parenthesis Over StartRoot, 3 , EndRoot , EndFraction left brace, "H" equals 60 , right bracef30bottomx=MsinH−0.2MsinH3H=60
41
Expression 42: "f" Subscript, 150 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "x" , right parenthesis equals "M" sine left parenthesis, "H" , right parenthesis minus StartFraction, 0.2 "M" sin left parenthesis, "H" , right parenthesis Over StartRoot, 3 , EndRoot , EndFraction left brace, "H" equals negative 60 , right bracef150bottomx=MsinH−0.2MsinH3H=−60
42
Expression 43: "f" Subscript, 210 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "x" , right parenthesis equals "M" sine left parenthesis, "H" , right parenthesis minus StartFraction, 0.2 "M" sin left parenthesis, "H" , right parenthesis Over StartRoot, 3 , EndRoot , EndFraction left brace, "H" equals negative 120 , right bracef210bottomx=MsinH−0.2MsinH3H=−120
43
Expression 44: "f" Subscript, 330 "b" "o" "t" "t" "o" "m" , Baseline left parenthesis, "x" , right parenthesis equals "M" sine left parenthesis, "H" , right parenthesis minus StartFraction, 0.2 "M" sin left parenthesis, "H" , right parenthesis Over StartRoot, 3 , EndRoot , EndFraction left brace, "H" equals negative 240 , right bracef330bottomx=MsinH−0.2MsinH3H=−240
44
"x" Subscript, "a" "r" "r" "o" "w" , Baselinexarrow
"y" Subscript, "a" "r" "r" "o" "w" , Baselineyarrow
"M" cosine left parenthesis, "H" , right parenthesisMcosH
"M" sine left parenthesis, "H" , right parenthesisMsinH
r1c3:
"x" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baselinexarrowtop
Expression 46: "x" Subscript, "a" "r" "r" "o" "w" "b" "o" "t" "t" "o" "m" , Baseline equals round left parenthesis, StartFraction, 0.9 "M" cos left parenthesis, "H" , right parenthesis tan left parenthesis, "H" plus 90 , right parenthesis minus 0.9 "M" sin "H" minus "M" cos left parenthesis, "H" , right parenthesis times tan left parenthesis, "H" plus 150 , right parenthesis plus "M" sin left parenthesis, "H" , right parenthesis Over tan left parenthesis, "H" plus 90 , right parenthesis minus tan left parenthesis, "H" plus 150 , right parenthesis , EndFraction , 2 , right parenthesisxarrowbottom=round0.9McosHtanH+90−0.9MsinH−McosH·tanH+150+MsinHtanH+90−tanH+150,2
equals=
6.56.5
46
Expression 47: "x" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baseline equals round left parenthesis, StartFraction, 0.9 "M" cos left parenthesis, "H" , right parenthesis tan left parenthesis, "H" plus 90 , right parenthesis minus 0.9 "M" sin "H" minus "M" cos left parenthesis, "H" , right parenthesis times tan left parenthesis, "H" plus 30 , right parenthesis plus "M" sin left parenthesis, "H" , right parenthesis Over tan left parenthesis, "H" plus 90 , right parenthesis minus tan left parenthesis, "H" plus 30 , right parenthesis , EndFraction , 2 , right parenthesisxarrowtop=round0.9McosHtanH+90−0.9MsinH−McosH·tanH+30+MsinHtanH+90−tanH+30,2
equals=
6.9 26.92
47
Expression 48: "y" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baseline equals "f" Subscript, "p" "e" "r" "p" , Baseline left parenthesis, "x" Subscript, "a" "r" "r" "o" "w" "t" "o" "p" , Baseline , right parenthesisyarrowtop=fperpxarrowtop
equals=
2.8 5 2 2 5 2 5 0 0 5 82.85225250058
48
Expression 49: "f" Subscript, "p" "e" "r" "p" , Baseline left parenthesis, "x" , right parenthesis equals tangent left parenthesis, "H" plus 90 , right parenthesis left parenthesis, "x" minus 0.9 "M" cos left parenthesis, "H" , right parenthesis , right parenthesis plus 0.9 "M" sine left parenthesis, "H" , right parenthesisfperpx=tanH+90x−0.9McosH+0.9MsinH
49
Expression 50: "y" Subscript, "a" "r" "r" "o" "w" "b" "o" "t" "t" "o" "m" , Baseline equals "f" Subscript, "p" "e" "r" "p" , Baseline left parenthesis, "x" Subscript, "a" "r" "r" "o" "w" "b" "o" "t" "t" "o" "m" , Baseline , right parenthesisyarrowbottom=fperpxarrowbottom
equals=
3.7 1 3 3 8 0 1 1 4 0 43.71338011404
50
Expression 51: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals StartRoot, .3 6 "M" squared minus "x" squared , EndRoot left brace, "x" greater than or equal to 0 , right bracef1x=.36M2−x2x≥0
51
Expression 52: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals StartRoot, .3 6 "M" squared minus "x" squared , EndRoot left brace, "x" less than or equal to 0 , right bracef2x=.36M2−x2x≤0
52
Expression 53: "f" Subscript, 2 "b" , Baseline left parenthesis, "x" , right parenthesis equals "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis left brace, negative 0.6 "M" less than or equal to "x" less than or equal to 0.6 "M" sin left parenthesis, 180 minus "B" , right parenthesis , right bracef2bx=f2x−0.6M≤x≤0.6Msin180−B
53
Expression 54: "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis equals negative StartRoot, .3 6 "M" squared minus "x" squared , EndRoot left brace, "x" less than or equal to 0 , right bracef3x=−.36M2−x2x≤0
54
Expression 55: "f" Subscript, 3 "a" , Baseline left parenthesis, "x" , right parenthesis equals "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis left brace, "B" greater than or equal to 180 , right bracef3ax=f3xB≥180
55
Expression 56: "f" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis equals negative StartRoot, .3 6 "M" squared minus "x" squared , EndRoot left brace, "x" greater than or equal to 0 , right bracef4x=−.36M2−x2x≥0
56
Expression 57: "f" Subscript, 4 "a" , Baseline left parenthesis, "x" , right parenthesis equals "f" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis left brace, "B" greater than or equal to 90 , right bracef4ax=f4xB≥90