The height of the building located at a distance from the tower is approximately 163.716 meters.
How to determine the height of a building
After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.
Now we proceed to calculate the height of the building:
[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]
h ≈ 163.716 m
The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]
To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750
