The total distance covered by her is 0.81 miles.
Alyssa is jogging near Central Park.
She runs along 65th Street for about 0.19 miles, 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.
We have to determine
How long is her total run to the nearest hundredth of a mile?
According to the question
She runs along 65th Street for about 0.19 miles, turns right, and runs along Central Park West for about 0.28 miles.
Alyssa's route can be considered a right triangle with legs of length 0.19 and 0.28 (hundredths).
The total distance run is determined by using the Pythagoras theorem.
Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Therefore,
The distance run by her is,
[tex]\rm x^2 = (0.19)^2 +(0.28)^2\\\\ x^2=0.0361 + 0.784\\ \\ x^2 = .1145\\ \\ x= \sqrt{.1145} \\\\ x= 0.34[/tex]
Therefore,
The total distance covered by her is,
= .34 + .19 + .28
= 0.81 miles
Hence, the total distance covered by her is 0.81 miles.
To know more about Pythagoras theorem click the link given below.
https://brainly.com/question/24311140
