Final answer:
The height of the taller building is approximately 32 meters.
Step-by-step explanation:
To find the height of the taller building, we can use trigonometry. The formula to use is the tangent function, which is equal to the opposite divided by the adjacent.
In this case, the opposite side is the height of the taller building and the adjacent side is the height of the shorter building. The angle of elevation is given as 40°.
Using the trigonometric equation tan(40°) = x/22, we can solve for x, which represents the height of the taller building.
Calculating this, we find that x is approximately equal to 32 meters.