Question

Where should the point P be chosen (in units from A) on line segment AB so as to maximize the angle θ? (Round your answer to two decimal places.)

a) P = 0.25
b) P = 0.50
c) P = 0.75
d) P = 1.00

Answer 1

The point P should be chosen at P = 0.50 units from A.

Step-by-step explanation:

To maximize the angle θ, we need to find the point P on line segment AB that is the farthest away from point A. This can be done by comparing the distances AP and PB and choosing the point P that is equidistant from both A and B. In this case, since AB is a line segment, point P should be chosen at the midpoint of AB, which is exactly between A and B.

Therefore, the point P should be chosen at P = 0.50 units from A.