Math  /  Geometry

Question8. Bill placed a mirror on the ground 5 m from the base of a flagpole. He stepped back until he could see the top of the flagpole reflected in the mirror. Bill is 1.5 m tall and saw the reflection when he was 1.25 m from the mirror. How high is the flagpole? lagpole

Studdy Solution
Solve the proportion to find h h :
Cross-multiply to solve for h h :
h×1.25=1.5×5h \times 1.25 = 1.5 \times 5
h×1.25=7.5h \times 1.25 = 7.5
Divide both sides by 1.25:
h=7.51.25h = \frac{7.5}{1.25}
Calculate the division:
h=6h = 6
The height of the flagpole is:
6 m \boxed{6 \text{ m}}

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