document.write( "Question 1177676: Students in University of the Philippines built a replica of the NCR on a 45.5-ft diameter globe using a scale of 1: 2,000,000. About how tall is the Mount Everest on the model?
\n" );
document.write( "(Note: Mount Everest stands 29,000 feet approximately). \n" );
document.write( "
Algebra.Com's Answer #850407 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's solve this problem step-by-step.\r \n" ); document.write( "\n" ); document.write( "**1. Understand the Scale**\r \n" ); document.write( "\n" ); document.write( "The scale is 1:2,000,000. This means that 1 unit on the model represents 2,000,000 units in reality.\r \n" ); document.write( "\n" ); document.write( "**2. Convert Mount Everest's Height to the Model's Scale**\r \n" ); document.write( "\n" ); document.write( "* Mount Everest's height: 29,000 feet \n" ); document.write( "* Scale: 1:2,000,000\r \n" ); document.write( "\n" ); document.write( "To find the height on the model, we need to divide the actual height by the scale factor:\r \n" ); document.write( "\n" ); document.write( "* Model height (in feet) = 29,000 feet / 2,000,000 \n" ); document.write( "* Model height = 0.0145 feet\r \n" ); document.write( "\n" ); document.write( "**3. Convert Model Height to Inches**\r \n" ); document.write( "\n" ); document.write( "Since it's more practical to express small heights in inches, we'll convert feet to inches:\r \n" ); document.write( "\n" ); document.write( "* 1 foot = 12 inches \n" ); document.write( "* Model height (in inches) = 0.0145 feet * 12 inches/foot \n" ); document.write( "* Model height ≈ 0.174 inches\r \n" ); document.write( "\n" ); document.write( "**4. Interpret the Result**\r \n" ); document.write( "\n" ); document.write( "The height of Mount Everest on the model is approximately 0.174 inches.\r \n" ); document.write( "\n" ); document.write( "**Therefore, Mount Everest is about 0.174 inches tall on the model.** \n" ); document.write( " \n" ); document.write( " |