Question

A rope is being used to anchor a tree to the ground, as shown in the picture below. If the rope is 15 feet long and it is tied to the tree 12 feet above the ground, how far from the base of the tree is the rope tied to the ground???

Answer 1

Answer: 9

Explanation:

Use the pythagorean thrm, a^2+b^2=c^2.

x^2+12^2=15^2 so x=sqrt(15^2-12^2)=9

Answer 2

The answer to your problem is, B. 9 feet

Explanation:

The pythagoras' theorem states that:

Hyp² = base² + perp²

Which can only be applicable for a right-angle triangle.

So by the ‘ Pythagoras' theorem ‘

Hyp² = base² + perp²

Base² = Hyp² - perp²

Base² = 15² - 12²

Base² = 225 - 144

Base² = 81

Base = 9

9 being the answer.

Thus the answer to your problem is, B. 9 feet