A tree stands vertically on a hill side which makes an angle of \(15^\circ\) with the horizontal. From a point on the ground 35m down the hill from the base of the tree, the angle of elevation of the top of the tree is \(60^\circ\). Find the height of the tree.

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, interactive explorations.

Used and loved by over 5 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!