Two poles, A and B, are 12 meters apart. Pole A is 5 meters high. A rope 20 meters long is tied to the top of pole A and stretches to the top of pole B. What is the height of pole B? Assume that pole B is taller than pole A.
Accepted Solution
A:
Answer: The height of the pole will be 21 m.Step-by-step explanation:Since we have given thatLength of pole A = 5 metersDistance between Pole A and Pole B = 12 mLength of rope is tied to the top of pole A and stretches to the top of pole B = 20 metersAs 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.