SOLUTION: A turtle is walking around the perimeter of a fountain, starting at point A as shown. It takes the turtle 22 seconds to walk to point B, which is at angle of 24° from the starting
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Question 1196923: A turtle is walking around the perimeter of a fountain, starting at point A as shown. It takes the turtle 22 seconds to walk to point B, which is at angle of 24° from the starting point. At this rate, how much longer will it take for the turtle to reach point C, which is exactly half-way around the perimeter of the fountain? Answer by ikleyn(52784) (Show Source):
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A turtle is walking around the perimeter of a fountain, starting at point A as shown.
It takes the turtle 22 seconds to walk to point B, which is at angle of 24°
from the starting point. At this rate, how much longer will it take for the turtle
to reach point C, which is exactly half-way around the perimeter of the fountain?
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Hello, when you say " . . . point C, which is exactly half-way around the perimeter of the fountain? ",
it is not a definitive description of point C.
You should say " half-way around the perimeter starting from point A or from point B ".
I will interpret it as if point C is half-way around the perimeter starting from point A.
Let T be this additional time for the turtle to get from B to C.
The arc BC is 180° - 24° = 156°.
Use the proportion = .
From the proportion, find T = = 143 seconds.
ANSWER. 143 seconds to get from B to C.
