A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact
at C and the top of the pole touches the ground at point T, a distance of 3 meters
from A.
Find the length AC, in meters, the point where the pole snapped.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

Let \(ABC\) be a triangle with \(\angle B=90^\circ\), \(\angle C=30^\circ\) and \(AB=5\) Find the length of the angle bisector from \(A\) to \(\overline{BC}\)(right to \(2\) decimal places).

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

The two red lines in the diagram shown are drawn diagonally on the faces of a cube. What is the angle (in degrees) between them at the point where they join?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!