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3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners of the soccer goal are located at O(0,0,0), A(0,0, 2.5), B(7.5,0,2.5) and C(7.5,0,0). The goalkeeper stands at point G, which is the midpoint of the line segment OC. All mea- surements are in metres. A B C (a) Determine the coordinates of points G and P. (b) Determine PA and PC. Which point A or C is closer to P? Justify your answer.

3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners of the soccer goal are located at O(0,0,0), A(0,0, 2.5), B(7.5,0,2.5) and C(7.5,0,0). The goalkeeper stands at point G, which is the midpoint of the line segment OC. All mea- surements are in metres. A B C (a) Determine the coordinates of points G and P. (b) Determine PA and PC. Which point A or C is closer to P? Justify your answer.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 47PS
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3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners of the soccer goal are located at O(0,0,0), A(0, 0, 2.5), B(7.5,0, 2.5) and C(7.5,0, 0). The goalkeeper stands at point G, which is the midpoint of the line segment OC. All mea- surements are in metres. A P (a) Determine the coordinates of points G and P. (b) Determine PA and PC. Which point A or C is closer to P? Justify your answer. (c) The player P kicks the ball and it is stopped by the goalkeeper at a point S which is 9 metres along the line segment from P to A. Determine the coordinates of point S.
Transcribed Image Text:3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners of the soccer goal are located at O(0,0,0), A(0, 0, 2.5), B(7.5,0, 2.5) and C(7.5,0, 0). The goalkeeper stands at point G, which is the midpoint of the line segment OC. All mea- surements are in metres. A P (a) Determine the coordinates of points G and P. (b) Determine PA and PC. Which point A or C is closer to P? Justify your answer. (c) The player P kicks the ball and it is stopped by the goalkeeper at a point S which is 9 metres along the line segment from P to A. Determine the coordinates of point S.
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