Answer:
Total calories Ashton burns running = 1260 calories
Step-by-step explanation:
Given:
Ashton ran 4 miles east, 3 miles north and then tool diagonal path back home.
Calories he burned every mile = 105
To find the total calories he burned on his run.
Solution:
On tracing the path ran by Ashton, we find that it forms right triangle as shown in figure.
The legs of the triangle are 4 miles and 3 miles. We can find the hypotenuse using Pythagorean theorem.
By Pythagorean theorem:
[tex]Hypotenuse^2=Leg1^2+Leg2^2[/tex]
Plugging in the leg values given.
[tex]Hypotenuse^2=4^2+3^2[/tex]
[tex]Hypotenuse^2=16+9[/tex]
[tex]Hypotenuse^2=25[/tex]
Taking square root both sides:
[tex]\sqrt{Hypotenuse^2}=\sqrt{25}[/tex]
[tex]Hypotenuse=5[/tex] miles
Total distance ran by Ashotn can be calculated by summing up the length of each side of the triangle.
Total distance run by Ashton = [tex]3+4+5=12\ miles[/tex]
Using unitary method to find the total calories burned.
If 1 mile run burns = 105 calories
Then 12 miles run will burn = [tex]12\times 105 = 1260\ miles[/tex]
Thus, total calories Ashton burns running = 1260 calories
