To find the height of the triangle, we can use trigonometry.
We know that the adjacent side is 4629m and the angle opposite the height is 5 degrees. Let's call the height h.
Using the tangent function, we can set up the following equation:
tan(5°) = h/4629
Solving for h, we get:
h = 4629 * tan(5°)
h ≈ 422.4m
Therefore, the height of the triangle is approximately 422.4m.