Step 1:

The horizontal distance between fireman and building is d = 25 m. \ \

The hose is 1.20 m above ground.

The initial speed of the stream is .

The angle of the hose above the horizontal is . \ \

Find the height of stream of water strike the building. \ \

The components of the initial velocity are

Step 2:

The flow of the water stream is in projectile motion as shown in figure.

Horizontal acceleration is zero in projectile motion.

So we have .

Where is change in distance.

So the time taken to strike the building is 2.5 s. \ \

Step 3:

Now find the vertical height.

The vertical height of stream of water strike the building is 12.675 m.

Solution:

The vertical height of stream of water strike the building is 12.675 m. \ \