Question

A fireman d = 56.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of θi = 24.0° above the horizontal as shown in the figure. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building?

Answer 1

I will be happy to critique your work.

Answer 2

From the x direction:
t = 56/40cos24
Use this t in the y equation:
y = 40sin24 t - .5*9.8*t^2