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? 19 ft 3 ft 6 ft 9 ft

Answer 1

U have to use Pythagoras theorem to solve this.. (adjacent)^2+(opposite)^2=hypotenuse^2
looking at the question,
the hypotenuse =15ft
opposite =12ft
adjacent =???
adjacent^2+(12)^2=15^2
a^2+144=225
group like terms
a^2=225-144
a^2=81
introduce square root to both side
​root a^2=root81
a=9ft
therefore, the answer is 9ft.