document.write( "Question 318552: On a test flight, during the landing of the space shuttle, the ship was 325 feet above the end of the landing strip. It then came in on a constant angle of 7.5 degrees with the landing strip. How far from the end of the landing strip did it first touch ground? \r
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Algebra.Com's Answer #228023 by csr212(7) ![]() You can put this solution on YOUR website! This is a right-angled triangle, with the base as the distance from the end of the landing strip, the height as 325 ft and a base angle of 7.5. \n" ); document.write( "A = 7.5° \n" ); document.write( "C = 90° \n" ); document.write( "a = 325\r \n" ); document.write( "\n" ); document.write( "to find angle B the sum of all angles in a triangle is 180° \n" ); document.write( "7.5°+B+90°=180° \n" ); document.write( "B = 82.5° \n" ); document.write( "To find side b = tan(B)=opp/adj = tan(B)=AC/CB \n" ); document.write( "AC=CB-tan(B) \n" ); document.write( "AC=325-tan(82.5°) \n" ); document.write( "Multiply 325 by 7.59573 \n" ); document.write( "AC or b = 2468.61225\r \n" ); document.write( "\n" ); document.write( "The shuttle landed 2468.61225 feet from the end of the landing strip or 2469 feet. \n" ); document.write( " \n" ); document.write( " |