Question

Tony who is 6.2' tall is looking at a mirror on the ground 14' in front of him and he can see the top of the flagpole he knows the distance from the mirror to the flag pole is 23' and that the 2 triangles are similar how tall is the flag pool

Answer 1

10.2 feet

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.