Question

A ship leaves port at 8 knots (nautical miles per hour) heading N22⁰W. After 2 hr, it mr a 90⁰ clockwise turn to a new bearing of N68⁰E and travels for 1.2 hr. Part: 0/2 Part 1 of 2 (a) Find the ship's distance from port to the nearest tenth of a nautical mile. The ship's distance from the port is approximately nmi.

Answer 1

The ship's distance from port is approximately 25.6 nautical miles.

Step-by-step explanation:

To find the ship's distance from port, we need to break the ship's journey into two legs. In the first leg, the ship travels at a speed of 8 knots for 2 hours. Since speed is distance divided by time, we can find the distance traveled in the first leg by multiplying the speed by the time: Distance = Speed x Time = 8 knots x 2 hours = 16 nautical miles.

In the second leg, the ship changes direction and travels for 1.2 hours. To find the distance traveled in this leg, we use the same formula: Distance = Speed x Time = 8 knots x 1.2 hours = 9.6 nautical miles.

To find the total distance from port, we add the distances traveled in each leg: Total Distance = Distance Leg 1 + Distance Leg 2 = 16 nautical miles + 9.6 nautical miles = 25.6 nautical miles.

Therefore, the ship's distance from port is approximately 25.6 nautical miles.