Answer:
10.2 feet
Step-by-step explanation:
Let h represent the height of the flagpole. Because the triangles are similar, we have ...
object height / distance to mirror = h/23' = 6.2'/14'
Multiplying by 23', we have ...
h = 23'(6.2)/14 ≈ 10.2'
The flag pole is about 10.2 feet high.
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The "exact" answer is 10 13/70 feet. Since Tony's height is rounded to the nearest 0.1 feet, we expect that an answer rounded to that precision is sufficiently accurate.