A glider lands 20 miles east and 6 miles south from where it took off. The result of the trip can be described by the vector (20, –6).
A horizontal right pointing ray is labeled W E.
Toward the left end, this ray is intersected by a second upward pointing ray labeled S N.
From the point of intersection, a dashed blue line segment labeled 20 extends to the right.
From the right end, a vertical line segment labeled negative 6 extends downward.
A red ray extends from the left end of of the horizontal dashed blue line segment to the lower end of the vertical dashed blue line segment.
The angle formed by the red ray and the horizontal dashed blue line segment is labeled x degrees.
What is another description of this vector using distance (for magnitude) and direction?
(1 point)
Responses
about 17 miles at 21° south of west
about 17 miles at 21° south of west
about 17 miles at 21° south of east
about 17 miles at 21° south of east
about 21 miles at 17° south of west
about 21 miles at 17° south of west
about 21 miles at 17° south of east
3 answers
tan of angle of S of E = 6/20 = 0.3 so angle S of E = 16.7 or about 17 degrees
Bot had it right but did not say why.
1 answer