Question

Steven took a trip from his house. After driving 16 miles east and 12 miles south, what is the direct route back to Steven's house?

a. 20 miles
b. 24 miles
c. 28 miles
d. 30 miles

Answer 1

The direct route back to Steven's house after driving 16 miles east and 12 miles south can be found using the Pythagorean theorem, and it is 20 miles.

Step-by-step explanation:

Steven's direct route back to his house from his trip, after driving 16 miles east and 12 miles south, can be calculated using the Pythagorean theorem, as it forms a right-angled triangle. The direct route is the hypotenuse of this triangle.

Using the formula:

c = √(a² + b²)

Where a is the distance traveled east (16 miles), and b is the distance traveled south (12 miles). Calculating the hypotenuse:

c = √(16² + 12²)

c = √(256 + 144)

c = √400

c = 20 miles

So, the direct route back to Steven's house is 20 miles.