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Answer:
Puppy Liz runs 34.61 ft.
Step-by-step explanation:
From the figure we can extract two triangles: one with angle 34° and adjacent 40ft, the other with angle 34°+23° and adjacent 40ft.
Let us call the distance from the pole to the fire hydrant , and the distance from the pole to the bench
, then the distance
from the fire hydrant to the bench is
which is the distance the Puppy Liz runs.
Now, from trigonometry we have
and
Therefore, the distance Puppy Liz runs is
