Answer:
The height of the tower is 24 ft.
Step-by-step explanation:
Consider the provided information,
The cable length is given as 30ft.
The distance of cable anchored to the ground is 18ft.
And we need to find the height of the tower.
We can find this with the help of Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
Now substitute a=18 and c=30 and solve for b as shown.
[tex](18)^2+b^2=(30)^2[/tex]
[tex]324+b^2=900[/tex]
[tex]b^2=900-324[/tex]
[tex]b^2=576[/tex]
[tex]b=\sqrt{576}[/tex]
[tex]b=24[/tex]
Hence, the height of the tower is 24 ft.
