Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, then turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?

Answer:Her total run is 0.81 miles.Step-by-step explanation:Consider the provided information.The provided information can be visualized by the figure 1.The path she covers represent a right angle triangle, where the length of two legs are given as 0.19 and 0.28.Use the Pythagorean theorem to find the length of missing side.[tex]a^2+b^2=c^2[/tex]Where, a and b are the legs and c is the hypotenuse of the right angle triangle.The provided lengths are 0.19 and 0.28.Now, calculate the missing side.[tex](0.19)^2+(0.28)^2=(c)^2[/tex][tex]0.0361+0.784=(c)^2[/tex][tex]0.1145=c^2[/tex][tex]\sqrt{0.1145}=c[/tex][tex]c\approx{0.34}[/tex]Thus, the total distance is:0.34 + 0.19 + 0.28 = 0.81Therefore, her total run is 0.81 miles.