Answer:
2.53 miles
Step-by-step explanation:
To find out how far off course the ship will be after 4 hours, we first need to calculate how far the ship travels in that time, given its speed.
First, let's calculate the distance the ship travels in 4 hours at a speed of 26.0 miles per hour:
Distance = Speed × Time
= 26.0 miles/hour × 4 hours
= 104 miles
Now, since the ship is 1.4° off course, we can calculate the distance off course using trigonometry. The distance off course is essentially the side opposite the angle in a right triangle, where the hypotenuse (distance traveled) is the adjacent side and the angle (1.4°) is the angle between the hypotenuse and the desired course.
Using trigonometry, we can find:
Distance off course≈104 miles×sin1.4°
=104x0.0243
=2.53 miles
