document.write( "Question 1078335: from a hang glider approaching a 5000 ft. clearing the angles of depression of the opposite ends of the field measure 24° & 30°. How far is the hang glider from the nearer end of the field? \n" ); document.write( "
Algebra.Com's Answer #692954 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
from a hang glider approaching a 5000 ft. clearing
\n" ); document.write( " the angles of depression of the opposite ends of the field measure 24° & 30°.
\n" ); document.write( " How far is the hang glider from the nearer end of the field?
\n" ); document.write( ":
\n" ); document.write( "Draw this out, the interior angle opposite 5000 ft is 30-24 = 6 degrees
\n" ); document.write( "the alternate angle of parallel lines is 24 degrees opposite the side (a) of the glider to nearest point of the clearing
\n" ); document.write( ":
\n" ); document.write( "We can us the law of sines
\n" ); document.write( "\"a%2Fsin%2824%29\" = \"5000%2Fsin%286%29\"
\n" ); document.write( "Cross multiply, find the sines
\n" ); document.write( ".1045a = 5000 * .4067
\n" ); document.write( "a = \"2033.683%2F.1045\"
\n" ); document.write( "a = 19,456 ft from the nearest end
\n" ); document.write( "
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );