Question

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny is 6 feet tall and stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.

If the mirror is 45 feet 3 inches away from the building’s base, how tall is the building?

Answer 1

The building is 67 feet and 10.5 inches. Use tan to find the angle between ground and top of person. Then use that angle to find the buildings height