Answer:

the building is approximately 21.2 feet tall.

Step-by-step explanation:

We can use the tangent function to solve this problem. Let's call the height of the building h.

First, we need to find the angle of depression from the top of the building to the end of the shadow. This angle is the complement of the angle of elevation of the sun, which is 90° - 63.4° = 26.6°.

Now we can set up the following equation:

tan(26.6°) = h/37.5

Multiplying both sides by 37.5, we get:

h = 37.5 * tan(26.6°) ≈ 21.2 feet

Therefore, the building is approximately 21.2 feet tall.