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☑☑Answer With Figure And Explanation ☑☑
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Answer:
2.79 m
Step-by-step explanation:
From figure,
AD = 1.8 m, BD = 2.4 m and CD = 1.2 m
Retracting speed of string = 5 cm per second
In triangle ABD; length of string, i.e. AB can be calculated as follows:
AB² = AD² + BD²
= (1.8)² + (2.4)²
AD = 3 m
Thus, length of string is 3 m.
Let us assume that the string reaches at point M after 12 seconds
Length of retracted string in 12 seconds = 5 * 12 = 60 cm.
Remaining length of string = 3 - 0.6 = 2.4 m [∵ 60 cm = 0.6 m]
In triangle AMD,
We can find MD by using Pythagoras Theorem.
MD² = AM² - AD²
= (2.4)² - (1.8)²
= 2.52 m
MD = 1.587
Now,
Horizontal distance between the girl and the fly :
= 1.2 + 1.587
= 2.79 m
Therefore,
Horizontal distance = 2.79 m
Hope it helps!
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