Hi Jessi.

This is a question of projectile motion.

There are a couple of very important equations of projectile motion:

y = y0 + v0 t sinθ - ½ g t².
x = x0 + v0 t cosθ.

Where y is the vertical location, x is the horizontal location, x0, y0 are the initial location, v0 is the initial velocity, t is the time since launch, θ is the angle between the initial trajectory and the ground and g is the constant acceleration due to gravity: 9.8 m/s².

You can use the first equation for each value of θ to find t for each situation:
0 = 0 + 75 t sinθ - ½ g t².

Once you have t for each angle, you can use it in the second equation, which describes the horizontal movement, to find where the ball strikes the ground.

I think you are meant to ignore special aerodynamic properties of golf balls, air resistance and how far it bounces!

Cheers,
Stephen La Rocque.