How far is the 3 point line from the basket
Asked by admin @ in Mathematics viewed by 269 People
If Hank shoots from inside the three-point line, what can be said about his distance from the center of the basket?
Asked by admin @ in Mathematics viewed by 269 People
If Hank shoots from inside the three-point line, what can be said about his distance from the center of the basket?
Answered by admin @
Answer: the distance is less or equal than D = √2*246in^2
Step-by-step explanation:
The maximum distance between Hank's feet and the center of the basket is equal to the hypotenuse of a triangle rectangle where the cathetus are the distances shown in the figure (246 inches)
then the direct, in a straigth line, to the center of the basket is:
D^2 = (246in)^2 + (246in)^2 = 2*(246in)^2
D = √2*246in^2
So the direct distance between Hank's feet and the center of the basket must be smaller tan D. (because we know that he is inside the 3-point line, we do not know his exact position)
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