[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]

Mathematics-Online problems:

# Problem of the week

On a pyramid having a square base and edge length  a path ascends from one of the bottom vertices to the apex at a slope of .

Determine the height of the pyramid, the length of the first section of the path, the lengths and as well as the total length of the path, all of them in terms of

Hint: Let the slope here be the ratio of the difference in altitude to the distance covered (i.e. in the drawing below).