Question

A bus travels 9 miles north and 4 miles west from its original location. How far is the bus from the original location?

9.8 miles
13 miles
8.1 miles
97 miles

Answer 1

We can use the Pythagorean theorem to find the answer:

c^2 = a^2 + b^2

where c is the distance from the original location, and a and b are the distances traveled north and west respectively.

Plugging in the values:

c^2 = 9^2 + 4^2

c^2 = 81 + 16

c^2 = 97

Taking the square root of both sides:

c ≈ 9.85

Therefore, the bus is approximately 9.85 miles from its original location, so the closest answer is 9.8 miles.