Final answer:
The range of the projectiles when the cannon is set at a 20 degree angle above the horizontal is 114.4 meters.
Step-by-step explanation:
To find the range of the projectiles, we can use the range formula for projectile motion. The formula is given by:
R = (v^2 * sin(2θ)) / g
Where R is the range, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. In this case, the initial velocity is 25 m/s and the launch angle is 20 degrees above the horizontal.
Substituting the values in the formula:
R = (25^2 * sin(2 * 20)) / 9.8 = 114.4 meters
Therefore, the range of the projectiles will be approximately 114.4 meters.