Question:
Find the height of Building B
Consider two buildings A and B facing each other across a city park. The base of the lower windows of Building A are 4 metres above the ground while the base of its upper windows are 23 metres above the ground. From the base of Building A lower windows, the angle of elevation to the top of Building B is observed to be 26°. From the base of Building A upper windows, the angle of elevation to the top of Building B is observed to be 6°.
(a) Draw a diagram of this situation. Assume that the city park is flat and horizontal and that the two buildings stand vertically. Clearly label your diagram with the given information.
(b) Use trigonometry to find the height of Building B and the distance between the two buildings. Round your answers to the nearest metre.