Find the gradient of the graph of y = 1/3(29x + 10) + 5x in the x-y plane.

Let the height of the pole be $h$.
Let the foot of the pole be point $B$ and the top of the pole be point $A$.
Let point $M$ be on the horizontal ground, $10 \text{ m}$ from the foot of the pole.
This forms a right-angled triangle $ABM$, where the angle at $B$ is $90^\circ$.
The angle of elevation from $M$ to the top of the pole ($A$) is $\angle AMB = 55^\circ$.
The side $AB$ is opposite to the angle $55^\circ$.
The side $BM$ is adjacent to the angle $55^\circ$.

We know the adjacent side ($BM = 10 \text{ m}$) and we want to find the opposite side ($AB = h$). The tangent function relates the opposite and adjacent sides:

Substitute the given values into the formula:

Multiply both sides by 10 to solve for $h$:

Using a calculator for $\tan(55^\circ)$:

Comparing this to the given options:
A. $7.0 \text{ m}$
B. $8.0 \text{ m}$
C. $6.0 \text{ m}$
D. $14.0 \text{ m}$

The correct option is D.
The height of the pole is $\boxed{\text{14.0 m}}$.