The angle of elevation to the top of a building in New York

The angle of elevation to the top of a building in New York is found to be 7 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.) ___ ft A radio tower is located 400 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 36^degree, and that the angle of depression to the bottom of the tower is 25^degree. How tall is the tower? (Round your answer to four decimal places.) ___ ft

Solution

Let the height of the building be x ft

1 mile=5280 feet

tan theta=opposite/adjacent=x/5280

tan 7= x/5280

x = 5280 tan 7

x=648.3025 feet