Question

On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, Iowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas (Figure 1). The directions are shown relative to north: 0∘ is north, 90∘ is east, 180∘ is south, and 270∘ is west.

Find the distance she has to fly from Manhattan to get back to Lincoln. 189 Km
Find the direction (relative to north) she must fly to get there. -10.5

Illustrate your solutions with a vector diagram.

Answer 1

The student pilot has to fly 612 km to get back to Lincoln.

Step-by-step explanation:

To find the distance from Manhattan back to Lincoln, we need to add up the distances between all the locations on the flight path. Given that the distance from Lincoln to Clarinda is 189 km, from Clarinda to St. Joseph is 225 km, and from St. Joseph to Manhattan is 198 km, the total distance is:

Total distance = distance from Lincoln to Clarinda + distance from Clarinda to St. Joseph + distance from St. Joseph to Manhattan = 189 km + 225 km + 198 km = 612 km

Therefore, the student pilot has to fly 612 km to get back to Lincoln.