document.write( "Question 1033100: A satellite, which you can assume to be spherical, has a diameter of 11 m. If
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document.write( "it subtends an angle of 0.0010° to an observer on Earth, find the distance to
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document.write( "the satellite, giving your answer to two significant figures. \n" );
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Algebra.Com's Answer #648077 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A satellite, which you can assume to be spherical, has a diameter of 11 m. \n" ); document.write( " If it subtends an angle of 0.0010° to an observer on Earth, find the distance to \n" ); document.write( "the satellite, giving your answer to two significant figures. \n" ); document.write( ": \n" ); document.write( "The diameter of the satellite, and the observer form a scalene triangle made up of two right triangles, the distance from the observer to the satellite form one side which bisects the angle .0010 which is .0005 degrees. \n" ); document.write( "The other side is half the diameter of the satellite or 5.5 meters \n" ); document.write( "Assign the angles and sides as follows \n" ); document.write( "A = .0005 degrees \n" ); document.write( "a = 5.5 m \n" ); document.write( "B = 180 - 90 - .0005 = 89.9995 degrees \n" ); document.write( "b = the distance from the observer to the satellite \n" ); document.write( "Using the law of sines \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "b = \n" ); document.write( "use your calc \n" ); document.write( "b = 630253.57 meters which is 630.25 km \n" ); document.write( " |