A 12m high wall casts a shadow that is 5m long. What is the angle of elevation of the sun?

The vertical wall is the opposite side, and the distance from the foot of the wall to the point on the ground is the adjacent side. The angle of depression from the top of the wall to the point on the ground is equal to the angle of elevation from the point on the ground to the top of the wall. Let this angle be $\theta$.

Given:
Height of the wall (opposite side) $= 12$ m
Distance from the foot of the wall (adjacent side) $= 5$ m

$$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ $$\tan(\theta) = \frac{12}{5}$$

$$\theta \approx 67.38^\circ$$

Rounding to the nearest degree, $\theta \approx 67^\circ$.

The final answer is $\text{B. } 67^\circ$.