An ant looks to the top of a bulding at an angle of elevation of 32°. The ant then walks an additional 66 feet from the edge of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round to the nearest tenth.

Answer 1

If the first look is from distance x, then

h/x = tan 32°
h/(x+66) = tan 22°

so, equating values for x, we have

h/tan32° = h/tan22° - 66
now just solve for h