Angle of a trajectory required to make it go a specified distance?

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To determine the angle of elevation needed to hit an object 180 meters away with a muzzle speed of 100 meters per second, the problem involves projectile motion equations. The acceleration due to gravity is given as 9.8 m/s², and air resistance is neglected. One participant expresses confusion about the calculations and seeks assistance. Another participant emphasizes the importance of showing previous work to identify errors and facilitate help. Clear calculations and understanding of projectile motion principles are essential for solving this problem effectively.
dimmermanj
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Here is the problem at hand:

A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 180 meters away? Neglect air resistance and use g = 9.8 m / sec^2 as the acceleration of gravity.


I attempted to solve this by calculating the time required for the ball to travel the distance and then correlating that with the height to equal zero at that time..but honestly I'm just plain lost on this one, so any help would be great!

Jim
 
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