A girl runs to save an injured cat stuck on a window frame which is \( 20 \mathrm{~m} \) above t...

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A girl runs to save an injured cat stuck on a window frame which is \( 20 \mathrm{~m} \) above the ground. In order to help the cat, the girl uses stairs to run at an angle of elevation of \( 45^{\circ} \).
If the cat again moves up and is stuck at \( 40 \mathrm{~m} \) above the ground then what distance will the girl need to cover to reach the cat with an angle of elevation \( 60^{\circ} \) ?
a. \( \frac{20}{\sqrt{3}} \mathrm{~m} \)
b. \( 10 \sqrt{3} \mathrm{~m} \)
c. \( \frac{80}{\sqrt{3}} \mathrm{~m} \)
d. \( 80 \sqrt{3} \mathrm{~m} \)
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