document.write( "Question 1193190: PROBLEM SOLVING. Analyze. Solve. Answer.
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\n" ); document.write( "\n" ); document.write( "20 pts Problem # 1. A scarecrow was built in the middle of a cornfield. A naughty crow and seemingly brave crow landed on top of the scarecrow and upon being seen by the farmer, the crow was chased away. As a result, the scarecrow is slightly tilted toward the sun at an angle of 12° from the vertical and casts a 3-meter shadow. The angle of elevation from the tip of the shadow to the top of the scarecrow is 27°.\r
\n" ); document.write( "\n" ); document.write( "• Draw an appropriate diagram for the problem.
\n" ); document.write( "• Determine the length of the scarecrow.
\n" ); document.write( "• Suppose more crows kept landing on the top of the scarecrow, gradually tilting it further down. Assuming that the angle of elevation from the tip of the shadow to the top of the scarecrow didn't change. What is the angle of tilt of the scarecrow from the vertical if the scarecrow casts a shadow of:
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\n" ); document.write( "1 meter? \n" ); document.write( "

Algebra.Com's Answer #848654 by ikleyn(52841) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Problem # 1. A scarecrow was built in the middle of a cornfield.
\n" ); document.write( "A naughty crow and seemingly brave crow landed on top of the scarecrow and upon being seen by the farmer,
\n" ); document.write( "the crow was chased away. As a result, the scarecrow is slightly tilted toward the sun
\n" ); document.write( "at an angle of 12° from the vertical and casts a 3-meter shadow. The angle of elevation
\n" ); document.write( "from the tip of the shadow to the top of the scarecrow is 27°.
\n" ); document.write( "Determine the length of the scarecrow.
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\n" ); document.write( "\n" ); document.write( "        The problem in the post by tutor @yurtman is solved incorrectly.
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\n" ); document.write( "\n" ); document.write( "        I will solve here first part, only, for determining the length of the scarecrow.\r
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document.write( "We have a triangle ABC.\r\n" );
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document.write( "Vertex A is the base of the scarecrow.\r\n" );
document.write( "Vertex B is the tip of the shadow on the ground.\r\n" );
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document.write( "The side AB is horizontal on the ground. It represents the shadow on the ground and its length is 3 meters.\r\n" );
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document.write( "Point C is the top of the scarecrow.\r\n" );
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document.write( "Angle B is 27° : it is the angle of elevation from the tip of the shadow to the top of the scarecrow.\r\n" );
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document.write( "Side AC makes the angle of 12° with vertical toward the sun;\r\n" );
document.write( "so the angle A is 90° + 12° = 102°.\r\n" );
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document.write( "They want we find the length AC, which is the length of the scarecrow.\r\n" );
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document.write( "First, calculate the angle C of the triangle as the third angle of the triangle ABC\r\n" );
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document.write( "    m(C) = 180° - 102° - 27° = 51°.\r\n" );
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document.write( "Now write the sine law equation \r\n" );
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document.write( "     = \r\n" );
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document.write( "     = \r\n" );
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document.write( "    AC =  =  = 1.753 meters.\r\n" );
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document.write( "ANSWER.  The length of the scarecrow is 1.753 meters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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