To estimate the height of a building, two students find the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 37°

Question

From a point that is 350 feet closer to the building, the angle of elevation (at ground level) to the top of

the building is 45°. If we assume that the street is level, use this information to estimate the height of the building.

The height of the building is ____ feet 

Answer 1

Draw a figure.

Since the angle of elevation closer to the bldg is 45°, the height f the bldg and the distance from this point to the bldg is the same.

That means x/(x+350) = tan 37°.

If tan 37° = T, then ht of bldg = 350T/(1-T)