answer
15 seconds
set up distance equation
to find the shortest distance between corners, we can use the Pythagorean theorem [tex]a^2 + b^2 = c^2[/tex]
a is the width or 160 feet
b is the length or 300 feet
find distance
plug in values to find c, the distance
[tex]a^2 + b^2 = c^2[/tex]
[tex]160^2 + 300^2 = c^2[/tex]
115600 = [tex]c^2[/tex]
c = [tex]\sqrt{115600}[/tex]
c = 340 feet
set up time equation
to find the time it takes to run from corner to corner, we can use the equation
[tex]time = \frac{distance}{speed}[/tex]
find speed in feet/second
convert the speed of 15 miles/hour into feet/second
[tex]\frac{15miles}{hour} *\frac{5280 feet}{1 miles} * \frac{1 hour}{60 minutes}*\frac{1 minute}{60 seconds}[/tex]
= 22 feet/second
find time
since we now know distance and speed with the appropriate units, we can find time
plug values into [tex]time = \frac{distance}{speed}[/tex]
distance = c = 340 feet
speed = 22 feet/second
[tex]time = \frac{340}{22}[/tex]
time = 15.4545 ≈ 15 seconds
