A geometry problem by Kabir Jaiswal
Geometry
Level
2
A fireman, 50 m away from the burning building, directs a stream of water from a ground level fire hose at an angle of 30 degrees above the horizontal. If the speed of the stream as it leaves the hose is 40 m/s, at what height will the stream of water strike the building?
24.65
18.66 m
19.76
34.98
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1 solution
This problem is that of the motion of a projectile....we resolute the velocity vector into (40 cos 30..horizontal) and (40 sin 30) vertically. Time taken to reach wall = 50/(40 cos 30) then use relation S=ut-0.5g(t2).