Solving for the Velocity and Height in a Difficult Kinematics Problem

[cwheats]

Homework Statement

In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.07 s. later, at distance d = 27.5 m from the building and at angle θ = 67° with the horizontal.

(a) Find h

(b) What is the velocity at which the ball is thrown?
magnitude
angle ° relative to the horizontal

(c) Is that angle above or below the horizontal?

Homework Equations

The Attempt at a Solution

Ive been staring at this problem for a while now and am out of ideas any help would be greatly appreciated.

 

[blintaro]

Did you try making a list of Δt, Δ(x or y), V_i, V_f, and a for both the x and the y directions, then seeing if you can apply a kinematic equation to solve for unknown variables?

For instance V_fy =sin67(magnitude of V_f) and V_fx = cos67(magnitude of V_f), so if you could use kinematics in one direction to solve for the magnitude of V_f, you would then know the final velocity in the other direction as well.