Solve the problem.
-An airplane travels at 195 km/h for 1 hr in a direction of 287° from Greenville. At the end of this time, how far west of Greenville is the plane (to the nearest kilometer)?
A)186 km
B)204 km
C)60 km
D)57 km

Question

Quizplus · Accepted Answer

To find how far west the plane is from Greenville, we need to calculate the westward (horizontal) component of the plane's displacement. The direction of 287° corresponds to 287° - 270° = 17° west of north. Using trigonometry, specifically the cosine function for the horizontal component: distance west = total distance × cos(angle). Thus, distance west = 195 km × cos(17°). Calculating this gives a distance of approximately 186 km west of Greenville.

Solve the Problem. -An Airplane Travels at 195 Km/h for 1 Hr in 1