Answer:

When the x and y axes are set in the manner depicted in the diagram, the missile moves from point O to point A.

y = 0

u_{y} = v_{o} cos θ

a_{y} = -g cos θ

t = T

Using the kinematics for the y-axis

y = u_{y}t + 1/2 a_{y}t^{2}

T = 2v_{o} cos θ/g cos θ

Using kinematics for the x-axis

x = u_{x}t + 1/2 a_{x}t^{2}

Solving for the distance,