An archer standing a horizontal distance d=50m away from a tree

sees an apple hanging from the tree at h=12m above the ground. The
archer chooses an arrow and prepares to shoot. The arrow is initially 1.5m
above the ground. Just as the archer shoots the arrow with a speed of
75m/s, the apple breaks off and falls straight down. A person of height
2.0m is standing directly underneath the apple. The arrow pierced the
apple. Ignore air resistance.
(a) What angle did the archer aim the arrow at?
(b) How high above the person's head did the arrow hit the apple?
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