27.42 feet.
Assuming the limb forms a right angle with the trunk of the tree, we can use trigonometry to find the length of the limb.
The opposite side of the triangle is the height of the limb, the adjacent side is the height of the tree, and the angle between them is 62 degrees.
Using the tangent function, we have:
tan(62°) = opposite / adjacent
Solving for the opposite side (height of the limb), we get:
opposite = tan(62°) x adjacent
opposite = tan(62°) x 14.9
opposite ≈ 27.42
Therefore, the longest limb is approximately 27.42 feet tall.