By trigonometric functions, the height of the building is 20.626 feet.
How to determine the height of the building by trigonometric functions
In this question we must determine the height of a building according to the features of the geometric system seen in the figure and the application of trigonometric functions. Thus, we can determine the height of a building by means of the following expression:
h = 5 ft + x ft
h = 5 ft + (20 ft) · tan 38º
h = 5 ft + 20.626 ft
h = 20.626 ft
The building has a height of 20.626 feet.