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?

6 ft
9 ft
3 ft
19 ft

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?

6 ft
9 ft
3 ft
19 ft

Extrinix · Answer

Same as the last one, one side is 15 ft long and another is 12 feet long

Just use the pythagorean theorem and solve for $b$

$a^2+b^2=c^2$
$15^2+b^2=12^2$

Extrinix · Answer

Correcting myself right quick:

$12^2+b^2=15^2$