To create the diagram, you begin with an isosceles right triangle with legs 1 unit long. Then the hypotenuse of the first triangle becomes the leg of a second triangle, whose remaining leg is 1 unit long. The pattern continues so one leg of each new triangle is the hypotenuse of the previous triangle and the other is 1 unit long. Continue the diagram until you have constructed an angle whose tangent is 1 over the square root of 6. Approximate the measure of this angle.