Answer: The height of the pole will be 21 m.
Step-by-step explanation:
Since we have given that
Length of pole A = 5 meters
Distance between Pole A and Pole B = 12 m
Length of rope is tied to the top of pole A and stretches to the top of pole B = 20 meters
As shown in the figure below , we can apply "Pythagorus theorem" to find the height of the topper part of triangle :
[tex]H^2=B^2+P^2\\\\20^2=12^2+B^2\\\\400=144+B^2\\\\400-144=B^2\\\\256=B^2\\\\\sqrt{256}=B\\\\16=B[/tex]
So, Length of pole B will be
[tex]16+5=21\ m[/tex]
Hence, the height of the pole will be 21 m.
