Question

A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?

Answer 1

D

Explanation:

183.60

Answer 2

183.6 miles

Explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles