Airplane Flying Adventure!
How far did the airplane fly and in what direction?
The airplane flies 85.0 km on a heading 35.0° east of south. How far east did the plane fly and how far south did the plane fly?
Answer:
The airplane flew 85.0 km in total distance. To determine how far east and south the airplane flew, we can use trigonometry by multiplying the distance flown by the cosine and sine of the angle, respectively.
To determine how far east and south the airplane flew, we can use trigonometry. We have the distance flown (85.0 km) and the heading (35.0° east of south). To find the eastward component, we use the cosine of the angle, multiplying it by the distance. So, the eastward distance is 85.0 km * cos(35.0°). To find the southward component, we use the sine of the angle, multiplying it by the distance. Hence, the southward distance is 85.0 km * sin(35.0°).
By using trigonometry, we can calculate that the airplane flew approximately 69.39 km east and 48.96 km south. What an exciting adventure!