one day a sailor was sailing 32 miles from the shore. he then went 22 miles east then 67 miles north. How far did he travel straight?

a) 92 miles
b)29 miles
c) 362 miles**
d) none of these

Using the Pythagorean Theorem, I get 70.5.

To find the distance traveled straight, we need to find the distance between the starting point and the final point of the sailor's journey.

Let's break down the sailor's journey step by step:

1. The sailor started 32 miles away from the shore.
2. He sailed 22 miles east.
3. Then, he sailed 67 miles north.

To determine the distance traveled straight, we need to find the direct distance from the starting point to the ending point.

We can use the Pythagorean theorem to find this distance. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the 32-mile distance from the shore forms the base of the right-angled triangle. The 22-mile distance east and the 67-mile distance north form the other two sides.

Using the Pythagorean theorem, we can calculate the distance traveled straight:

Distance^2 = (Base^2) + (Height^2)
Distance^2 = (32^2) + (22^2)
Distance^2 = 1024 + 484
Distance^2 = 1508

Taking the square root of 1508, we find:

Distance ≈ 38.9

So, the sailor traveled approximately 38.9 miles straight.

However, none of the provided options (a, b, c, d) match this value. So, none of these options are correct.