### Fireman Aiming Water Stream at a Burning Building A fireman \( d = 57.0 \) m away from a burning building directs a stream of water from a ground-level fire hose at an angle of \( \theta_i = 23.0^\circ \) above the horizontal, as shown in the figure. If the speed of the stream as it leaves the hose is \( v_i = 40.0 \) m/s, at what height will the stream of water strike the building?\[ \boxed{\text{____________}} \text{ m} \]### Diagram ExplanationThe given figure illustrates the scenario:- A fireman is standing on the ground, aiming a hose at an angle \( \theta_i = 23.0^\circ \) relative to the horizontal.- The water stream travels in a parabolic arc, with an initial speed \( v_i = 40.0 \) m/s.- The distance from the fireman to the building (horizontal distance) is \( d = 57.0 \) m.- The height \( h \) is where the stream will strike the building.This setup involves projectile motion, which can be analyzed using physics equations to determine the height \( h \). ### Graphical Elements- A fireman is depicted directing a hose towards a burning building.- The water trajectory is shown as a blue parabolic curve.- Relevant parameters are labeled: horizontal distance \( d \), angle of projection \( \theta_i \), initial speed \( v_i \), and height \( h \) where the stream hits the building.This problem requires understanding projectile motion principles to find the required height at which the water stream strikes the building.

Name: ### Fireman Aiming Water Stream at a Burning Building A fireman \( d
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: ### Fireman Aiming Water Stream at a Burning Building A fireman \( d = 57.0 \) m away from a burning building directs a stream of water from a ground-level fire hose at an angle of \( \theta_i = 23.0^\circ \) above the horizontal, as shown in the fi