Discovery of a Giant Tree
by a Botanist


A world renowned botanist was exploring
Humboldt Redwoods State Park in California. He noticed a giant tree in
the forest, and thought it might be the tallest tree known. The shadow
of the tree was estimated to be 75 feet and the angle of elevation between
the treetop from the tip of the shadow was around 70^{o}. How
could he estimate the height of the giant tree using a calculator with
only basic mathematics operations (no scientific functions)? Is this
the tallest tree?
