Chapter 9.2, Problem 62E

To determine

To explain that the stream can pass through the window.

Answer to Problem 62E

Yes, friend is right

Explanation of Solution

Given information:

The stream of water of the fire hose can be modeled by

  $y=-0.003x^2+0.58x+3$

A fire fighter is standing 57 feet away from building

The bottom of the window is 26 feet above the ground

Calculation:

The stream of water of the fire hose can be modeled by

  $y=-0.003x^2+0.58x+3$

A fire fighter is standing in feet away from building $=57$

So $x=57$

Put value of x in equation

  $y=-0.003{(57)}^2+0.58(57)+3$

On solving

  $y=-0.003\times 3249+33.06+3$

On solving

  $y=-9.747+36.06$

On solving

  $y=26.313ft$

Yes, friend is right