Answer:
The anchor line can be put 42.53 foot from the tower.
Step-by-step explanation:
The following information is missing in the question:
Length of anchor line = 105 foot
The attached image shows the complete question.
We are given the following in the question:
Length of tower = 96 foot
Length of anchor line = 105 foot.
We have to find how far the tower can be placed. Let this length be x foot.
Since, the tower, anchor line forms a right angled triangle.
Pythagoras Theorem:
The sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.
Then, by Pythagoras theorem, we can write:
![x^2+ 96^2 = 105^2\\x^2= 105^2-96^2 = 1809\\x \approx 42.53\text{ foot}](https://tex.z-dn.net/?f=x%5E2%2B%2096%5E2%20%3D%20105%5E2%5C%5Cx%5E2%3D%20105%5E2-96%5E2%20%3D%201809%5C%5Cx%20%5Capprox%2042.53%5Ctext%7B%20foot%7D)
Thus, the anchor line can be put 42.53 foot from the tower.