Algebra.Com's Answer #842973 by ikleyn(52847)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A golfer on a level fairway hits a ball at an angle of 43° to the horizontal that travels
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document.write( "89 yd before striking the ground. He then hits another ball from the same spot with the same speed,
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document.write( "but at a different angle. This ball also travels 89 yd.
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document.write( "At what angle was the second ball hit? (Neglect air resistance.)
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document.write( "If a projectile is launched at an angle of  to the horizontal surface at the speed\r\n" );
document.write( "which magnitude is V, then the distance, where it will strikes the ground is\r\n" );
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document.write( " D =  .\r\n" );
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document.write( "where \"g\" is the gravity acceleration at the Earth surface. \r\n" );
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document.write( "For this formula, look into any textbook on Physics, or this web-site\r\n" );
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document.write( "https://courses.lumenlearning.com/suny-osuniversityphysics/chapter/4-3-projectile-motion/\r\n" );
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document.write( "In our problem, two projectiles have the same starting speed V and the same horizontal\r\n" );
document.write( "distance D, but have different launching angles  and  to the horizontal.\r\n" );
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document.write( "So, we can write this equation\r\n" );
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document.write( "  =  .\r\n" );
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document.write( "Cancel common factors V in both sides. Also, cancel the denominators. You will get\r\n" );
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document.write( "  =  .\r\n" );
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document.write( "It implies\r\n" );
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document.write( "  =  ,\r\n" );
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document.write( "or\r\n" );
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document.write( " =  .\r\n" );
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document.write( "Thus angles and are complementary.\r\n" );
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document.write( "Since in this problem one angle is 43°, hence the other angle is 90° - 43° = 47°.\r\n" );
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document.write( "ANSWER. The other angle is 47° , complementary to the first angle of 43°.\r\n" );
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document.write( "Solved.\r
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