Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
