Question

A ship sailed out of Baltimore on its way to Bermuda, which is 820 miles away after 425 miles of smooth sailing, the captain decided to veer 35 degrees to the left to avoid a storm. After sailing on that bearing for 167 miles, the captain turned the ship back on a direct line to Bermuda. How far must the ship travel to reach Bermuda?

Answer 1

We can solve this problem using the Law of Cosines. Let's call the distance the ship travels from the point of the turn to Bermuda "d". Then we have:

cos(35) = (820 - d) / 167

Rearranging this equation, we get:

820 - d = 167 cos(35)

Simplifying the right-hand side, we get:

820 - d ≈ 137.4

Solving for d, we get:

d ≈ 682.6

Therefore, the ship must travel approximately 682.6 miles to reach Bermuda.