Answer :
Answer:
The distance from the store A to the warehouse is of 13.93 miles.
Step-by-step explanation:
The delivery truck drove 5 miles from store A to store B
5 miles south.
13 miles from store B to the warehouse.
13 miles east.
The situation can be represented by:
A
B Warehouse
In which the distance of A to B is of 5 miles, and the distance of B to the warehouse is of 13 miles. Thus, the distance of store A to the warehouse is the hypothenuse of a right triangle, with sides 5 and 13.
Using the Pytagorean Theorem:
[tex]h^2 = 5^2 + 13^2[/tex]
[tex]h^2 = 25 + 169[/tex]
[tex]h^2 = 194[/tex]
[tex]h = \sqrt{194}[/tex]
[tex]h = 13.93[/tex]
The distance from the store A to the warehouse is of 13.93 miles.