Answer:
The next door building is 37.8 feet tall.
Explanation:
Height of the building at which man is standing = AE = 58.0 feet
Height of the neighboring building = CD = x
Let AB = y
x+ y = 58 ft..[1]
In triangle ABC:
...[2] (
)
In triangle AED:

(
)

BC = ED
Putting value of ED in [2]


Puttig value in y in [1], we get:
x = 58.0 ft - 20.2743 ft = 37.7257 ft ≈ 37.8 ft
The next door building is 37.8 feet tall.