Question

A ship is 1.4° off course. If the ship is traveling at 14.0 miles per hour, how far off course will it be after 2 hours?

Answer 1

Answer:

  about 0.7 miles

Step-by-step explanation:

When you draw a diagram of the problem, you see that the shortest distance back to the course is the distance traveled times the sine of the angle:

  distance off course = (14 mi/h)×(2 h)×sin(1.4°) ≈ 0.684 mi

The ship is about 0.7 miles from its intended course.