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:
[tex]x^2+ 96^2 = 105^2\\x^2= 105^2-96^2 = 1809\\x \approx 42.53\text{ foot}[/tex]
Thus, the anchor line can be put 42.53 foot from the tower.
