Hey all, I'm having a bit of trouble with this question. If you could help and also give reasoning/explanation that would be wonderful!
A garden sprinkler sprays water symmetrically about its vertical axis at a constant
speed of metres per second. The initial direction of the spray varies continuously between angles of and to the horizontal.
(i) Prove that, from a fixed position on level ground, the sprinkler will wet the
surface of an annular region with centre and with internal and external radii metres and metres respectively.
(ii) Deduce that, by locating the sprinkler appropriately relative to a rectangular
garden bed of size 6 metres by 3 metres, the entire bed may be watered provided that .
A garden sprinkler sprays water symmetrically about its vertical axis at a constant
speed of metres per second. The initial direction of the spray varies continuously between angles of and to the horizontal.
(i) Prove that, from a fixed position on level ground, the sprinkler will wet the
surface of an annular region with centre and with internal and external radii metres and metres respectively.
(ii) Deduce that, by locating the sprinkler appropriately relative to a rectangular
garden bed of size 6 metres by 3 metres, the entire bed may be watered provided that .
