A surveyor measures the distance between buildings X and Y as 200 feet. The angle of elevation from the base of X to the top of Y is 25 degrees. What is the height of building Y?

Answer 1

Draw a right triangle with XY vertical, and a base AX of 200 ft.
The angle XAY=25 degrees.
Use the definition of
tangent(A)=tangent(25°)=XY/AX
Solve for XY.