Question

modeling real life you walk in a straight line from room 103 to room 117 at a speed of 4.4 feet per second.
a. how far do you walk?
b. how long does it take you to get to room 117? round your answer to the nearest tenth

Explanation:

Step1: Calculate the distance walked

From the diagram, we use the Pythagorean - theorem. The horizontal distance is 86 ft and the vertical distance is 22 ft. The distance $d$ is given by the formula $d=\sqrt{86^{2}+22^{2}}$.
First, calculate $86^{2}=86\times86 = 7396$ and $22^{2}=22\times22 = 484$.
Then $86^{2}+22^{2}=7396 + 484=7880$.
So $d=\sqrt{7880}\approx88.8$ ft.

Step2: Calculate the time taken

We know that speed $v = 4.4$ feet per second and distance $d\approx88.8$ ft. Using the formula $t=\frac{d}{v}$, we substitute the values.
$t=\frac{88.8}{4.4}\approx20.2$ seconds.

Answer:

a. 88.8
b. 20.2