Each time Old Faithful in Yellowstone National Park erupts, rangers can estimate the height of the geyser by comparing it to the height of a tree. First the rangers locate a tree of the same height. The shadow of the tree is 93 ft at the same time that the shadow of a 6 ft ranger is 4 ft. Find the height of the tree to the nearest foot.

Answer 1

my question is: how do they find a tree of the same height? There are none growing nearby.

Anyway, using similar triangles, the height h can be found using
h/93 = 6/4