Question

An anchor line for a tower needs to be replaced the tower is 96ft tall. The anchor line is 10ft long. How far from the tower can it be placed to the nearest foot

Answer 1

The anchor line can be put 42.53 foot from the tower.

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}`

Thus, the anchor line can be put 42.53 foot from the tower.