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[null,"     Viewing Angle Problem"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"         the calculus problem of finding"]
[null,"         the maximum viewing angle a"]
[null," for viewing a painting hanging on a wall"]
[null,null,"    as a function of the"]
[null,"            distance x from the wall."]
[]
["How high H above eye level"]
[null,"   is the painting (1 - 10 feet)?",{"$nulls":3},{"$f":"D12","v":5}]
[{"$nulls":3},5,{"$f":"#REF!+D12*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[]
[{"$nulls":9},"      The graph of the function a =",{"$nulls":3},{"$f":"\"Arctan (\" & TEXT(RR + s,\"0\") & \"/x) - Arctan (\" & TEXT(s,\"0\") & \"/x)\"","v":"Arctan (7/x) - Arctan (2/x)"}]
["How tall T is the painting (1 - 6 feet)?",{"$nulls":4},{"$f":"D16","v":2}]
[{"$nulls":3},2,{"$f":"#REF!+D16*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$nulls":5},"  Select a distance from the wall: x0 =",{"$nulls":3},{"$f":"N18/20","v":8.25},"feet"]
[]
[{"$nulls":13},165,{"$f":"Sheet2!G7+N18*(Sheet2!G8-Sheet2!G7)/100","v":1650}]
[]
[{"$nulls":11},"The value of the derivative there is a' = ",{"$nulls":3},{"$f":"Sheet2!H28","v":-0.03204343088829303}]
[{"$f":"\"At a distance of \"&TEXT(x0,\"0\") &\" feet from the wall, \"","v":"At a distance of 8 feet from the wall, "}]
[]
[{"$f":"\"   the viewing angle = \"&TEXT(Sheet2!J10,\"0.00\") &\" radians = \" &TEXT(Sheet2!J11,\"0.00\") & \" degrees \"","v":"   the viewing angle = 0.47 radians = 26.69 degrees "}]
[]
[]
["Click each item below for suggestions and investigations"]
[null,"   Item 1"]
[null,"   Item 2"]
[null,"   Item 3"]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["     Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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