Answer:
The height of the building is 18.8 feet to the nearest tenth
Explanation:
Whenever an elevation problem is given the first step is to try to visualize a triangular path between the objects that are given in the problem.
In this case, we can form a triangular path between the man, the top of the building, and the ground.
The height of the building we are looking for will be the opposite side of the triangle because it is directly facing the angle: 38 degrees.
The distance 24 feet will be the adjacent side of the triangle because it is adjacent to that angle
We can use the Tan trigonometric relationship to find a relationship between the length of the sides of the triangle and the available angles.
approximately 18.8 ft