document.write( "Question 1194212: From the top of a 45 ft. fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40 degrees.\r
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\n" ); document.write( "A.53.63 ft. B.58.74 ft.
\n" ); document.write( "C.70.01 ft. D.72.38 ft. \n" ); document.write( "

Algebra.Com's Answer #826348 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "From the top of a 45 ft. fire tower, a forest ranger sees his partner on the ground
\n" ); document.write( "at an angle of depression of 40 degrees.
\n" ); document.write( "How far is the partner from the forest ranger above the tower?
\n" ); document.write( "A.53.63 ft. B.58.74 ft.
\n" ); document.write( "C.70.01 ft. D.72.38 ft.
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document.write( "You have a right-angled triangle with vertical leg of 45 ft (the tower), \r\n" );
document.write( "and the acute angle adjacent to this leg of 90° - 40° = 50°.\r\n" );
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document.write( "Recall the definition of the cosine of an acute angle in right-angle triangle \r\n" );
document.write( "and write this equation connecting the leg, the hypotenuse length and the concluded angle\r\n" );
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document.write( "    cos(50°) = ,\r\n" );
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document.write( "where x is the distance under the problem's question.\r\n" );
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document.write( "From this equation, find   x =  =  = 70.01 ft.    ANSWER\r\n" );
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