Question

16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail

through an angle of rotation of about 140° around Earth's center. Find this measure in
radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel.

Answer 1

9674.28 miles

Explanation:

From the above question, we are given:

Central angle = 140°

Radius = 3960 miles

We are to solve for the distance = Arc length

The formula for Arc length when your central angle is in radians

r × θ

θ = 140°

Converting 140° to radians

140° × π/180 = 2.443rad

Hence,

3960 × 2.443 rad

= 9674.28 miles

The ship would travel 9674.28 miles.