The flag pole is [tex]8.75 \: m[/tex] or write it as [tex]9 \: m[/tex] tall.
Step-by-step Explanation:
Let "p" be the height of the flag pole.
The ratio of the child height to the pole height is the same as the ratios of their respective shadows, so,
[tex] \frac{1.4}{p} = \frac{1.2}{7.5} [/tex]
Now, Cross multiply :-
[tex]1.2 \times p = 1.4 \times 7.5[/tex]
→ [tex]1.2 \times p = 10.5[/tex]
→ [tex]p = \frac{10.5}{1.2} [/tex]
→ [tex]p = 8.75[/tex]
This [tex]8.75[/tex] can be rounded off to [tex]9[/tex] as it ends with [tex].75[/tex]
So, the flag pole is 9 metres tall.
