document.write( "Question 950200: A plane passes over your head at an altitude of 5000 feet. Two seconds later you observe that it's angle of elevation is 42°. How far did the plane travel during those two seconds? How fast in miles per hour was a plane traveling? Is it a commercial airliner or military aircraft? How do you know? Round all word to the nearest whole number \n" ); document.write( "
Algebra.Com's Answer #580176 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A plane passes over your head at an altitude of 5000 feet. \n" ); document.write( " Two seconds later you observe that it's angle of elevation is 42°. \n" ); document.write( " How far did the plane travel during those two seconds? \n" ); document.write( " How fast in miles per hour was a plane traveling? \n" ); document.write( " Is it a commercial airliner or military aircraft? How do you know? Round all word to the nearest whole number \n" ); document.write( ": \n" ); document.write( "A right triangle is formed by the vertical from your position to plane when it was overhead. The the path of plane in 2 second and an angle of 48 degrees \n" ); document.write( "(90-42=48). Use the tangent of 48 degrees, side opposite (s) is the path of the plane and side adjacent is 5000 ft \n" ); document.write( "tan(48) = \n" ); document.write( "s = 5000 * 1.11 \n" ); document.write( "s = 5553 ft in 2 sec \n" ); document.write( "that's \n" ); document.write( "5553/2 = 2776.5 ft/sec \n" ); document.write( "Convert to mph \n" ); document.write( " |