Problema Solution
A furniture store offers free setup and delivery services to all points within a 25-mile radius of its warehouse. If you live 20 miles east and 14 miles south of the warehouse, will you incur a delivery charge? What is the distance from your home to e warehouse?
Answer provided by our tutors
make a good drawing and notice the right triangle with legs 20 mi and 14 mi
the distance from home to the warehouse is the hypotenuse c of the right triangle thus we will use the Pythagorean Theorem:
c^2 = 20^2 + 14^2
c^2 = 596
c = 24.41 mi approximately is the distance from home to a warehouse
since 24.41 < 25 you will incur a delivery charge.